Simple Guide to Series Convergence Tests
2019 ж. 6 Қаз.
81 033 Рет қаралды
Explanation of when to use different tests for convergence of an infinite series. This process will get us through most simple infinite series!
There are two other common convergence tests that I didn't include in this video:
1. Root test - use when everything is raised to the power of n
2. Absolute convergence test - use when dealing with series that go from positive to negative but don't alternate, such as Σsin(n)/n².
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There are two other common convergence tests that I didn't include in this video: 1. Root test - use when everything is raised to the power of n 2. Absolute convergence test - use when dealing with series that go from positive to negative but don't alternate, such as Σsin(n)/n².
This is a great video for Calc 2 students.
man this is calc 1 for me like what the helll....
This is incredible! What a great way to organize things. This is far better than watching hours of other videos. It's definitely gonna help on the AP Calc test. Thanks!
I think I just found a gold mine of helpful videos! Thank you!!
FINALLY!!! I've understood which series test to use. This video is very helpful. Thx a lot mate.
Very organized for different kinds of est! Good job!
Super helpful, this was the biggest concern for me in calc 2. Will be practicing more and more. Thank you for this!
Dude this is actually so helpful, gonna be taking my Calc BC exam next week!
Thank you for leaving a couple seconds of the whiteboard alone up at the end. I like to take screenshots so I can use them to review before tests, and you make it easier!
And now I'm rewatching this video because I have a test on Sequences and Series today. Wish me luck!
Bro that was super useful!! I just had a test, and last minute came across...really made the deciding process much much easier. Could you please extend it to include series in terms of trignometric and logarithmic functions?!
This was super helpful thank you so much! I hope you have a great day and bright future!
so grateful!!! Honestly I know each individual test but I was having a hard time understanding when to use what and this video made everything finally click!!!
I cant believe this video is free. Thank you brother...
Wild. I just learned this in calc 2 today!
Thank you ! Keep working! ✊
Great job in the little minutes 🌸 tankss
It really helped me understand thankss!!
very much struggling to hang on on this last leg of BC calc. This was a very useful video for me, thank you so much!
This is so helpful!! I have my Ma1a placements next week 😅😅😅😅😅
excellent video
Honestly thank you.
Nice Video!
your so awesome bro tnx for teaching us #maths is awesome
Thank you for thiiiiissss!!!!
Cool job
that was pretty constructive !
Thank you 😊
bro might be the calc goat
Bro you are actually amazing, I have my BC Calc test tmrw and this is such a great sum up!
very nyc explaination
insanely helpful, thank you so much!!!!!!!
Can you please record a video on solving more equations
thx bro
You're so amazing i love you
I never comment on videos i watch but…👏👏
Hey im from Oregon too
For the third one: ne^(-n^2)=o(1/n^2)
Dumb question, the telescoping, cauchy and the rest are included in the basic category?
Telescoping is usually a method to find the exact value of a series rather than showing that it converges, so that's why I left it out. There are a few methods that I didn't mention which might have their own categories. My goal for this video was just to help students for a convergence test exam!
@@MuPrimeMath well done. Thank you.
A bit of nitpicking, I think your tongue slipped at 13:06, it is a horizontal asymptote (but if someone is interested in series, that's something he/she already knows, maybe?) But a very nice video! I like your classification a lot!
Yes, that is a horizontal asymptote!
My calc 2 professor barely helps me out and only helps me when i understand the material. Why does she have that job if she isnt going to help her students and the class isnt even engaging at all On a side note, you just explain it so better. You would make a great calc 2 professor
Thank you so much for the video, i have something i couldn't get in the weird serie of n2*3n/n! in the 9:10 minute, when i calculate the limit i found it 6, so it is supposed to be divergent, and i don't know what i exactly did wrong, can you please explain why is it convergent ?
If you do the ratio test on that series, you should find that the ratio between consecutive terms approaches 0 as n approaches infinity. By the ratio test, this means the original series converges because r < 1.
Sir could please prove that the series (sin n)/n is not an absolutely convergence??
ANGEL
11:03 13:30
Anyone else feel bad cuz it’s hard to write on the whiteboard as a leftie
Ok, but how do I make all of this look rigorous enough to make my professor say "ok he did enough"?
I'm in pre calc I shouldn't have to do this shit
Isn't the internet just awesome?
heres something that doesn't fit the ratio test example... (10^n)/10n
Dude, have you thought about bulking? you have a solid frame, you’d be muscular giga math chad if you think about it. You’d end up converging everything in life, please leave some for the rest of us.