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-b414-4d0b3...

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:    • Video  
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

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