KZhead

Calculus 2 - Geometric Series, P-Series, Ratio Test, Root Test, Alternating Series, Integral Test

The Organic Chemistry Tutor
2018 ж. 30 Нау.
1 589 341 Рет қаралды
Жүктеу

This calculus 2 video provides a basic review into the convergence and divergence of a series. It contains plenty of examples and practice problems.
Integral Test For Divergence: • Calculus 2 - Integral ...
Remainder Estimate - Integral Test:
• Remainder Estimate For...
P-Series:
• P-series
Direct Comparison Test:
• Direct Comparison Test...
Limit Comparison Test:
• Limit Comparison Test
_________________________________
Alternating Series Test:
• Alternating Series Test
Alternate Series Estimation Theorem:
• Alternate Series Estim...
Absolute & Conditional Convergence:
• Absolute Convergence, ...
The Ratio Test:
• Ratio Test
The Root Test:
• Root Test
__________________________________
Series Tests - Practice Problems:
• Calculus 2 - Geometric...
Taylor & Maclaurin Polynomials:
• Taylor Polynomials & M...
Taylor's Remainder Theorem:
• Taylor's Remainder The...
Power Series - Interval Convergence:
• Power Series - Finding...
Power Series - Derivatives & Integrals:
• Power Series - Differe...
___________________________________
Calculus Final Exam and Video Playlists:
www.video-tutor.net/
Full-Length Videos and Worksheets:
/ collections

Пікірлер

  • Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: kzhead.info/sun/qNaJedyuhXSOeWg/bejne.html

    @TheOrganicChemistryTutor@TheOrganicChemistryTutor Жыл бұрын

  • HOW DOES THIS MAN KNOW EVERY SINGLE PIECE OF INFORMATION ON THE PLANET?! You are a lifesaver I swear to god if I was not broke, I would donate at least 10 grand coz your lectures are better than every other class I was ever in. You should run for president

    @Joseph-zd3lz@Joseph-zd3lz3 жыл бұрын

    • @@ahmedmohamedaligalal9165 Ahh yes, allah

      @kennyrudin10@kennyrudin103 жыл бұрын

    • @@ahmedmohamedaligalal9165 u right tho xDDDD

      @ghassenbeddouihech2657@ghassenbeddouihech26572 жыл бұрын

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      @ledgermalakai6549@ledgermalakai65492 жыл бұрын

  • 1. Divergence Test: 0:21 2. Geometric Series Test: 0:58 3. P-Series Test: 1:51 4. Telescoping Series: 2:33 5. Integral Test: 5:01 6. Ratio Test: 6:12 7. Root Test: 7:14 8. Direct Comparison Test: 8:12 9. Limit Comparison Test: 8:59 10. Alternating Series Test: 10:28 11. Absolute Convergence AND Conditional Convergence: 11:26 12. Practice Problems: 12:41

    @dukebozikowski3801@dukebozikowski38013 жыл бұрын

    • goat

      @aleph4425@aleph44253 жыл бұрын

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      @kormakurolafsson2182@kormakurolafsson21823 жыл бұрын

    • You are so sexy.

      @kaylamancilla6563@kaylamancilla65633 жыл бұрын

    • Bro the best

      @isatay4069@isatay40693 жыл бұрын

    • I really appreciate this. I'm trying to focus on reviewing the ones I suck at, so this really helps me skip the stuff I'm already comfortable with.

      @pezpeculiar9557@pezpeculiar95572 жыл бұрын

  • bro Imma have a maths test in 2 hours.. prof made all these incredibly convoluted.. I absolutely love the straightforward manner you built up this video. it is incredible that some people can sum up months of curriculum in 45 minutes and everything is clear, all seems easy and meaningful in contrast to endless lessons in uncomfortable chairs mad respect

    @wickedtiger1553@wickedtiger15535 жыл бұрын

    • This is more like 1.5 weeks or so

      @Filthyt@Filthyt4 жыл бұрын

    • howd you do?

      @monke5802@monke58022 жыл бұрын

    • Tbf tho actually learning the content vs memorizing the formulas are completely different. As a review tool, this is great but if you get asked a single out-of-the-box question that requires deep knowledge of the topic then just knowing a bunch of formulas isn't gonna give you the intuition to actually unpack any of this. I'm self-studying for BC and I find it helps a lot to watch these vids in tandem with another explanatory resource like Pauls Online or Khan Academy, which usually have intuitive explanations or proofs of each concept.

      @lambda5949@lambda59492 жыл бұрын

    • @@lambda5949 but it means nothing to me whether I memorize the formula or understand the formula, I just need a pass in order to continue my university study which is nothing about maths. It is just silly that my school make maths compulsory even for the history major.

      @dhuka4969@dhuka4969 Жыл бұрын

    • @@dhuka4969 Oh yeah, in that case, this vid makes sense, didn't think universities required that kinda thing so I was assuming this vid was tailored for high schoolers.

      @lambda5949@lambda5949 Жыл бұрын

  • Who else got a calc exam coming up?

    @rayravel7309@rayravel73094 жыл бұрын

    • Me😁

      @vijaynagalla3989@vijaynagalla39894 жыл бұрын

    • @@vijaynagalla3989 me

      @insane_anatoly@insane_anatoly4 жыл бұрын

    • Me 😂

      @WhisDragonBallSuper@WhisDragonBallSuper4 жыл бұрын

    • in 2 days :0000

      @rkv3731@rkv37313 жыл бұрын

    • Me and series had never been my strong topic😅

      @alexandermbot9467@alexandermbot94673 жыл бұрын

  • I just want to say thank you so much. I watched a bunch of your videos on Calc 2 and I just aced my second exam. 100/100. Thank you so much you have no idea how much you truly help people.

    @beneder5772@beneder57725 жыл бұрын

  • The Organic Chemistry Tutor once gave a student private lecture.The student is known as Stephen Hawking nowadays.

    @oguzhan3864@oguzhan38645 жыл бұрын

    • he ded now

      @Armyguywizerdo16@Armyguywizerdo165 жыл бұрын

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      @nihatdonmezov8354@nihatdonmezov83543 жыл бұрын

    • was

      @diags_1109@diags_11092 жыл бұрын

  • Why have I looked everywhere in my book, the recorded lectures, other math books, etc. to find a list of the tests and how/when to use them, and this is the only resource I've seen that actually goes through them. You are truly God's gift to students, sir.

    @The-Khatalyst@The-Khatalyst3 жыл бұрын

  • You explained 43 minutes, that's already like 3 weeks of calculus II all in 1 video! Thank you so much man!

    @funnyvideos1030@funnyvideos10304 жыл бұрын

    • We covered this topic within half an hour in our university🥲

      @nipuniherath1451@nipuniherath1451 Жыл бұрын

    • @@nipuniherath1451 you covered 11 topics in half an hour??? u need a new university bro. that makes no sense. maybe 30min-1hr for each topic but not 30 min for all 11 lol.

      @Max-cu6bw@Max-cu6bw Жыл бұрын

    • @@Max-cu6bw Yeah we did all of these with sequences in one lecture

      @benjaminwhitehead4050@benjaminwhitehead40504 ай бұрын

    • @@nipuniherath1451 30 minutes??? This is like 20% of all the content for calc 2

      @richymanzo9817@richymanzo981718 күн бұрын

    • @@benjaminwhitehead4050 Over here at UT it's the same case lol they treat calc 2 as a weed-out class

      @LuisCruz-ns3bt@LuisCruz-ns3bt13 күн бұрын

  • I cannot put into words how much this channel has gotten me through college. My man you are an absolute legend!

    @paolameneses3075@paolameneses30753 жыл бұрын

    • Same!

      @kateryna1611@kateryna16113 жыл бұрын

  • watching this 1hour before my exam 💀

    @realndu@realndu Жыл бұрын

  • I wanna say thank you. This video is so helpful. I got 96/100 in my third exam

    @quocnhutdang4595@quocnhutdang45955 жыл бұрын

  • i am retaking calculus two because of this chapter, and I am currently relearning it and still barely getting it but this video is saving my life tbh !!!

    @JazzyLove80@JazzyLove805 жыл бұрын

    • so how did it go?

      @batuhan8964@batuhan89645 жыл бұрын

    • It was so bad they died on the spot. Rest in Peace Jaz

      @greypoint000@greypoint0005 жыл бұрын

    • @@greypoint000 let's have a moment of silence for Jaz

      @asleyvictor5627@asleyvictor56275 жыл бұрын

    • I had to retake it as well, I’m passing with a 90% now!

      @CluckYou21@CluckYou214 жыл бұрын

    • SchmidtyBangBang Me too! Glad I’m not the only one who is retaking it and smashing the course lmao

      @Phenrex@Phenrex4 жыл бұрын

  • your ability to make multiple high level topics so easy to understand is out of this world, you're awesome.

    @javierrios4647@javierrios46473 жыл бұрын

  • Bro you're the saviour of all engineers. All hail O-Chem Tutor

    @Blank-wv3uf@Blank-wv3uf4 жыл бұрын

  • my calculus 2 final is in exactly 12 hours and before I started watching your videos 2 hours ago, I had absolutely no idea what this wizard scripture is But now I can safely say that I actually understand it and I'm going to ace the exam tomorrow I can't thank you enough, you are my hero /:

    @abdulwahabfanar8588@abdulwahabfanar85883 жыл бұрын

    • how did you do

      @jdaht@jdaht3 жыл бұрын

    • how did you do

      @vaiterius@vaiterius3 жыл бұрын

    • @@vaiterius he died

      @axlrose5082@axlrose50822 жыл бұрын

    • @@axlrose5082 its safe to say, yes he died

      @diags_1109@diags_11092 жыл бұрын

    • @@diags_1109 Res in peace

      @racheltracy8124@racheltracy81242 жыл бұрын

  • You have a gift for being able to condense a lot of information into one video and have the viewer leave with a good working understanding of the topic. You are the best math youtuber in this regard! Thank you!

    @euclid9492@euclid94924 жыл бұрын

  • thank you for taking the time of day to make these videos! I don't know how I would get by without you and your videos!

    @jeanettequintero5276@jeanettequintero52765 жыл бұрын

  • I watched this video 4 hrs before my calculus exam and I understood all about the tests in 43:51 minutes #wow.....My lecturer spent 4 weeks on this topic and I didn't get anything LOL.....You the best bro

    @Javill_Driz@Javill_Driz2 жыл бұрын

  • My calc 2 final is tomorrow and I'm here trying to retain as much information as I can, watching your videos. Thank you, you're a life saver

    @eulyc.959@eulyc.9594 жыл бұрын

  • I have a math test coming up in two days and you just summed up 3 weeks worth of notes into a 45 min video!

    @reighabaoag6712@reighabaoag67123 жыл бұрын

  • Got a BC calc AP in 9 hours and not once did I ever understand how to do these, let’s goooo

    @britterthecritter4531@britterthecritter45315 жыл бұрын

  • you always had my back, from high school to uni. Thank you so much man.

    @tariqchagouri8058@tariqchagouri80584 жыл бұрын

  • Hell yeah! This video is saving me. Thank you so much for making this! My teacher spent 10 days covering this material, but I did not understand. Watched your video and now I'm ready for the exam.

    @ianhenry317@ianhenry3174 жыл бұрын

  • This is a lifesaver you have no idea how much I was struggling - I have to take an exam in a couple hours and I feel at least mildly confident in my ability to get a passing grade now. Thank you so much!!!

    @pipinanaC8@pipinanaC83 жыл бұрын

  • Professor Organic Chemistry Tutor, thank you for a monster review of the different tests for Convergence and Divergence in Calculus Two. This is a tremendous amount of material for a student to absorb in Mathematics. The old fashion way to learn any subject is practice and pattern recognition. This is an error free video/lecture on KZhead TV with the Organic Chemistry Tutor.

    @georgesadler7830@georgesadler78302 жыл бұрын

  • Yo Organic Chemistry tutor thank you for your videos, I have a barrier with my teacher and have been struggling in my class. But thanks to you and hours of practice I feel more competent in the subject. I'm sure you get this enough already but thank you for your time and dedication to helping us students out.

    @Dylan-bk9bh@Dylan-bk9bh4 жыл бұрын

  • Simply the GOAT. Greatest KZhead video I’ve ever watched from an educational perspective. Organic chemistry tutor I love you

    @seanfreyne8050@seanfreyne80502 жыл бұрын

  • These video's are fantastic! I am so thankful that you made these, my cal2 teacher is horrible and you are saving my college career with these.

    @chancehall7862@chancehall786226 күн бұрын

  • I have a calc ii exam in two hours, this video and your channel in general has been a life saver. Before I found your videos I failed my first quiz (50%, mean score being 53%), and after finding your channel I managed to a much better score on my second quiz (85%, mean score being 54%). Thanks to you I can be confident I'll score at least an 80, and even hope for a 90. Honestly i would be failing without your channel.

    @ProdTony-gf9hh@ProdTony-gf9hh Жыл бұрын

    • In my uni it’s called calculus 3 whyy

      @I_am_FRANCO@I_am_FRANCO Жыл бұрын

  • Who disliked this? This is so nice and concise, with practice problems to boot. Perfect.

    @thenumber1bobo@thenumber1bobo5 жыл бұрын

  • Thanks for your help. This really helped me with AP Calculus BC

    @imlouischo@imlouischo5 жыл бұрын

  • Incredible video, clear and detailed as usual, he has a gift for teaching. Also this video made me pass Calculus

    @jososa5717@jososa57172 жыл бұрын

  • This Man is a life saver. I am in the first semester of my university, and have a calculus exam coming up. Since I unfortunately contracted covid during this sem, i was unable to study properly. This Man literally summed up an entire chapter which my teacher taught in 3 weeks, in LESS THAN AN HOUR! And i literally feel so confident after this. Man, you are so special! I wish I had a teacher like you!

    @hassansaqib13@hassansaqib133 жыл бұрын

  • I dont know how to thank you. I understood these concepts, thank you so much, god bless you!!

    @saik9584@saik95843 жыл бұрын

  • I got a 100% on my calc 2 final. Thank you with every ounce of sleep that I was deprived of. You deserve it😭😭

    @The053199@The0531992 жыл бұрын

  • Going into partial DE and complex functions feeling prepared. Thanks alot!

    @parker9965@parker99652 жыл бұрын

  • Currently learning Calculus right now and this is a lifesaver. Thank you!!

    @-.SkyArt.-@-.SkyArt.-4 ай бұрын

  • I love the asmr qualities of his videos, his voice, his writing, the lil clicks especially

    @YeabuddyXD@YeabuddyXD2 жыл бұрын

  • LOL I have a test this Tuesday. Good timing GOAT

    @obaidi2834@obaidi28346 жыл бұрын

    • same

      @godlytechreviews4@godlytechreviews43 жыл бұрын

    • wtf me too

      @cesarc6044@cesarc60442 жыл бұрын

  • You are amazing. Thank you. Seriously helpful content!

    @ebay_turbo@ebay_turbo5 жыл бұрын

  • Thanks! You saved my life for calculus I have an exam comming up and u really summed it up well :)

    @jeankhoury@jeankhoury Жыл бұрын

  • Imagine paying for Prep101 when u have this guy

    @warnfreezer@warnfreezer5 жыл бұрын

  • Thank you. I love you so much. Calculus is not that hard we just need the professors to teach the same way you do.

    @saifoosy7792@saifoosy7792 Жыл бұрын

  • My calculus final resulted this day, and I probably got 30-40 point by watching this video on the night of the day before the exam. Thanks man. Even though my math is good, I was confused by many tests in series topic. Great explanation video without confusing parts.

    @corsegau_2465@corsegau_2465 Жыл бұрын

  • my friend and i were screwed but this taught us more in one sitting than we learned in class or after days of reviewing notes. thank you i think you just saved us on this test

    @gracecc6853@gracecc68532 жыл бұрын

  • Got a calc 2 final tomorrow at 2 and you're a life saver!!

    @N03200@N032005 жыл бұрын

  • Thank You. Best math help KZhead channel out there

    @lukeshieldsnature@lukeshieldsnature4 жыл бұрын

  • 2x speed, time to cram.

    @tecseven7@tecseven75 жыл бұрын

    • LMAO. That’s impossible to follow 😂

      @XWorldXWideX@XWorldXWideX4 жыл бұрын

    • Mood 🧟‍♂️

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    • @@XWorldXWideX set it to 1.5, get used to it then try 2x

      @yusuf_kizilkaya@yusuf_kizilkaya4 жыл бұрын

    • lolol

      @TerryOnVinyl@TerryOnVinyl4 жыл бұрын

    • @@XWorldXWideX i always watch his videos at 2x

      @Armand__@Armand__4 жыл бұрын

  • You are a great teacher . Your teaching methodology is very simple and easy to learn. You are doing a great job for a lot of people........

    @abdulhaseeb2148@abdulhaseeb21484 жыл бұрын

  • just wanna let you know, youre the best. been watching your videos since highschool whenever i dont understand my teachers

    @mortal295936cl@mortal295936cl Жыл бұрын

  • This video is just is incredibly great. Thank you so much!!!

    @shadon_official2510@shadon_official25102 жыл бұрын

  • good luck on the AP test tomorrow

    @down4thecount628@down4thecount6283 жыл бұрын

  • This person is singlehandedly saving my calc 2 grade T-T

    @rhysespieces_@rhysespieces_24 күн бұрын

  • WATCHED EVERY SINGLE VIDEO OF YOURS AND IT WAS TOO MUCH HELPFUL THANKS!

    @memoonawazir2484@memoonawazir24846 жыл бұрын

  • i honestly can’t thank you enough thank you 👌🏽

    @whoelsebutsav@whoelsebutsav5 жыл бұрын

  • this series has helped me a lot with my examns, however the part where you are calculating de limit of certain things can be easier by just taking the coefficient of the unkown X with the highest exponential

    @protgy@protgy4 жыл бұрын

  • Thank you sir,your lecture is short and sweet,and it is understandable

    @wasiqmk@wasiqmk4 жыл бұрын

  • Thank you so much! Extremely helpful

    @ngomez909@ngomez9093 жыл бұрын

  • You are the MAN!!! always straight to the point!! I love it! just subscribe to your website

    @eliseekouros4248@eliseekouros42482 жыл бұрын

  • what would I do without you and your videos? thank you once again :)

    @carolinalc2490@carolinalc24905 жыл бұрын

  • thx bro u carried me through the entirely of calc 2 ❤❤ def wouldn’t have passed without ur videos :)

    @youtrash9761@youtrash9761 Жыл бұрын

  • really thank you for your videos it really helped me in my studies

    @meme0043@meme00433 жыл бұрын

  • 16:02 geometric series 17:59 alternating series 22:04 telescoping series - partial fractions 29:26

    @hannahgon@hannahgon11 ай бұрын

  • this was sooooo helpful!! thank you!!

    @christywilkinson2047@christywilkinson20475 жыл бұрын

  • Did I actually understand something?

    @ryuisonline8816@ryuisonline88165 жыл бұрын

  • Thank you and God Bless You!!!!

    @poojan97@poojan975 жыл бұрын

  • I love this guy! I don’t see many people in the comments actually saying how beautiful these math “tests” are that mathematics has a whole sorta new number series that can prove vital things in an equation.

    @loganking4674@loganking46743 жыл бұрын

  • Amazing video, helped me prepare for my calc 2 final tmr. Thanks!

    @nicholasneto8797@nicholasneto87972 жыл бұрын

  • Thanks for such a great explanation 👍

    @sahel5896@sahel58962 жыл бұрын

  • THANK YOUUUU keep doing what you are doing you inspire me to help people

    @vvise4179@vvise41792 жыл бұрын

  • Speed at 1.75, binge watch and practice through James stewart calculus .. All the best lad for your finals!

    @MShazarul@MShazarul4 жыл бұрын

    • How did that work out for you?

      @aurelionsol5134@aurelionsol51343 жыл бұрын

    • @@aurelionsol5134 I got a B minus. That's fantastic, particularly because I'm pursuing my bachelor's degree part-time. I believe the integral questions are the part where I made the most mistakes. In tutorials, the questions given are single problem like u-sub, integration by parts or integration by partial fractions. Just one of each and never a mix of those. But my examination will have an integral question that needs to be solved by u-sub and integration by parts or u-sub and partial fractions, etc.

      @MShazarul@MShazarul3 жыл бұрын

  • I was struggling in BC and this video helped me.

    @Dappled@Dappled4 жыл бұрын

  • For the example at 35:58, could you also use the direct comparison test to show that the series is convergent?

    @stavro5198@stavro5198 Жыл бұрын

  • One of these days I am about to beat up that "That tutor guy" ad dude. LIKE STOP IT MAN let me just learn in peace. I AM NOT TIRED OF SCOUNGING KZhead FOR MATH HELP. My boi organic Chem Tutor got me covered.

    @HettyPatel@HettyPatel3 жыл бұрын

  • This really helped thank you very much👍👍

    @rediet.f261@rediet.f2615 жыл бұрын

  • Such a good and informative video

    @mattlapla4636@mattlapla46363 жыл бұрын

  • You're such a life saver

    @kotchamitachin7128@kotchamitachin71287 ай бұрын

  • best video ever in the history of youtube imo ngl

    @merterdem9345@merterdem9345 Жыл бұрын

  • this is one of the best videos i have ever seen...

    @lawlies7714@lawlies7714 Жыл бұрын

  • Your videos are brilliant .......keep it up bruh

    @tekalignabdeta9035@tekalignabdeta90355 жыл бұрын

  • You're an absolute god-send. Thanks for helping us get through school/uni XD

    @wajdiayoub5106@wajdiayoub5106 Жыл бұрын

  • thank you! really you helped me, God bless you aya from morocco

    @lvibe_only@lvibe_only3 жыл бұрын

  • you are so professional. you are better than my doctor lol.. thanks man.. god bless you ! I hope that you can achieve what you want to achieve in your life. edit:you gained a new subscriber ..you are a legend!

    @aliosamaalmalki58@aliosamaalmalki5811 ай бұрын

  • This man deserves the Nobel peace prize because he probably prevented so many violent outbursts from STEM major students.

    @carrigorourke2466@carrigorourke2466 Жыл бұрын

  • Man you are actually a life saver.

    @jamesnnyamah5316@jamesnnyamah53162 жыл бұрын

  • Thanks, you helped me a lot.

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  • Excellent video!!!! I love it! Paid off so much :)!

    @growingmartshal3229@growingmartshal32293 жыл бұрын

  • This clip is the best!!!! Thank you so muchhhhhhh

    @wdwanwan6332@wdwanwan63323 жыл бұрын

  • You truly are a hero, I cannot express how thankful I am :'')

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    @Kaptiv239@Kaptiv2393 жыл бұрын

    • You're never going to hit the lottery and you're certainly not giving him 10%.

      @jameskennedy674@jameskennedy6742 жыл бұрын

  • Sir you are a national treasure

    @cynderellylastname6060@cynderellylastname60605 жыл бұрын

  • thanks your videos are very helpful

    @AsadAli-uq3fw@AsadAli-uq3fw4 жыл бұрын

  • Thank you so much, it was very helpful.🙌

    @tnt-fh9pt@tnt-fh9pt7 ай бұрын

  • Thank youu veryy much. You saved my life! ❤

    @batoulkhodor8163@batoulkhodor81633 жыл бұрын

  • Ong, I owe my degree to you, an absolute GOAT! This video was literally the reason I got a 93% on a 50% avg sequences and series exam!

    @the_ciphers_eye6822@the_ciphers_eye6822 Жыл бұрын

  • Nice vidoes bro!!! Keep it up😁

    @karlmedez5702@karlmedez57025 жыл бұрын

  • Thank you very much sir. Full of series unit i coverd from your videos. Very helpful sir. Thank you💓💓

    @sasindudilshan6679@sasindudilshan66792 жыл бұрын

  • You are the best bro you just saved my life

    @keremrmak5275@keremrmak52753 жыл бұрын

  • Currently watching this 2 hours before my calc exam. Let's hope this works.

    @dylanholman2000@dylanholman20004 жыл бұрын

    • it wont

      @aurelionsol5134@aurelionsol51342 жыл бұрын

    • What did you get?

      @-.SkyArt.-@-.SkyArt.-4 ай бұрын

    • Suprsingly a 98%, thank you

      @dylanholman2000@dylanholman20004 ай бұрын
KZhead