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Find limit at Infinity | sqrt(1+4x^6)/(2-x^3) x approaches infinity | general solution

Calculus with Rebecca
2023 ж. 10 Мау.
18 304 Рет қаралды
Жүктеу

To calculate the limit at infinity, we need to compare the highest power of denominator and numerator.
There are in general 3 types:
1. highest power (after simplify) of denominator greater than numerator, the limit often goes to 0.
2. highest power of dominator and numerator are the same, the limit is the highest term coefficient.
3. highest power of denominator smaller than numerator, the limit often goes to infinity (or negative infinity).

Пікірлер

  • 4 Because as we square up both parts Then we get (1+4x^6)/(4-4x3+ x^6) As x get to near infinity we had ((4x^6)+1 )/(1x^6) So 4 is nearly correct because 1/x^6 is too small

    @EricPham-gr8pg@EricPham-gr8pgАй бұрын

  • I was confused at first, but when you explained how to simplify with the 2x^2 + 5/3x^3 + 2x + 3 example, it made so much more sense

    @Idkwhattonamess@Idkwhattonamess11 ай бұрын

    • After dividing the numerator and denominator by the highest power of x in the denominator: If the highest power in the numerator is greater than 0, the limit as x→∞ approaches infinity (+∞ or −∞), depending on the signs of the term. If the highest power in the numerator is equal to 0, the limit as x→∞ exists and is finite and easy to calculate. If the highest power in the numerator is less than 0, the limit as x→∞ approaches zero.

      @boguslawszostak1784@boguslawszostak17844 ай бұрын

  • Amazingly explained,thank you so much

    @ZainAli-nk1rq@ZainAli-nk1rq5 ай бұрын

  • Very helpful!!

    @awusacollins@awusacollins7 ай бұрын

  • You are a lifesaver

    @shivalichainani5871@shivalichainani58717 ай бұрын

  • Thank you mam Rebecca.well xplained

    @panashepanaxe629@panashepanaxe6297 ай бұрын

  • Don't you want to divide everything by the highest exponent from the denominator? So x^3? For the first example

    @Svabby@Svabby6 ай бұрын

  • I like it so much ❤

    @PatwariVivek-st8mk@PatwariVivek-st8mk4 ай бұрын

  • Thanks!

    @somebody7270@somebody7270Ай бұрын

  • ❤❤thank youuu

    @eoeoeoei8226@eoeoeoei82266 ай бұрын

  • 👍👍👏👏

    @paulwood3460@paulwood34605 күн бұрын

  • Thanks

    @bisiberh1451@bisiberh14518 ай бұрын

  • Good explanation 👍

    @arslanmoghal5472@arslanmoghal54723 ай бұрын

    • Thanks 🙂

      @calcwithRebecca@calcwithRebecca3 ай бұрын

  • 1/2

    @NurHadi-qf9kl@NurHadi-qf9kl11 ай бұрын

  • -2

    @user-st3ej6bi9b@user-st3ej6bi9b7 ай бұрын

  • ❤😮😂😅hi

    @PatwariVivek-st8mk@PatwariVivek-st8mk4 ай бұрын

  • Sono infiniti dello stesso ordine, immedito il limitr

    @ghamoz@ghamoz5 ай бұрын

  • you spent 8 minutes to do a problem that can be done in 8 seconds. you better not to upload videos any more

    @chuckc3665@chuckc36654 ай бұрын

    • tapohaaa

      @lopsyd2772@lopsyd27723 ай бұрын

    • She didn't only solved the proble but also explained very well. So think before write your stupid comment.

      @markowenrayos3658@markowenrayos36583 ай бұрын

    • she explained to the stupid@@markowenrayos3658

      @chuckc3665@chuckc36653 ай бұрын

    • Dont be so toxic bro

      @kornelviktor6985@kornelviktor6985Ай бұрын

    • Why man. She's not solving for you okay buh those who have challenges so you better think before write

      @abueghan1363@abueghan136324 күн бұрын

  • -2

    @user-st3ej6bi9b@user-st3ej6bi9b5 ай бұрын
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