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Title:L'Hopital's Rule ultimate study guide
Duration:44:56
Viewed:76,066
Published:26-09-2021
Source:Youtube

Ultimate calculus tutorial on how to use L'Hopital's Rule (also spelled as L'Hospital's Rule) to evaluate limits with indeterminate forms? In this calculus tutorial, we will do 14 examples of using L'Hoptial's Rule to evaluate limits with indeterminate forms. Remember we can only use L'Hospital's Rule only if we have 0/0 or infinity/infinity. So if we encounter other indeterminate forms (i.e. 1^inf, 0^0, infinity - infinity, 0*infinity, inf^0), then we must somehow change the limit indeterminate forms first before using L'Hospital. Try the problems first 👉 https://936933f9-1455-44ce-b414-4d0b35a6c090.filesusr.com/ugd/287ba5_fc19d8f3e1a94c4295298047578e2197.pdf Big thanks to M.I's World for the following timestamps: 0:00 start of the video 0:07 x-sinx/x-tanx as x goes to 0 3:16 (arctanx)^2/x as x goes to 0 4:32 ln(x^3-8)/ln(x^2-3x+2) as x goes to 2+ 9:45 x/(lnx)^3 as x goes to infinity 13:13 x^2+4x+3/5x^2-x-4 as x goes to infinity 15:48 ln(e^x+1)/(4x+1) as x goes to infinity 18:52 x^(1/(x-1)) as x goes to 1+ 24:05 x^(1/(1+lnx)) as x goes to 0+ 27:08 (x/(x-1)-1/lnx) as x goes to 1+ 31:55 (1/sinx - 1/x) as x goes to 0+ **Q10. behind the scene: https://youtu.be/GIe6p7_579Q 34:36 ln(x^2-1)-ln(x^3-1) as x goes to infinity 36:42 sqrt(x^2+3x+1)-x as x goes to infinity 39:23 e^x times sin(1/x) as x goes to infinity 43:47 xarctan(x) as x goes to infinity --------------------------------------------------------- This channel is dedicated to students who are taking precalculus, AP calculus, GCSE, A-Level, year 12 maths, college calculus, or high school calculus. Feel free to leave calculus questions in the comment section and subscribe for future videos. Subscribe by clicking 👉 https://bit.ly/just_calc --------------------------------------------------------- If you find my channel helpful and would like to support, then please check out My Patreon: 👉 https://www.patreon.com/blackpenredpen My merch store: 👉 https://bit.ly/bprp_merch



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