L'Hospital's Rule (5 basic examples)

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Learn how to use L'Hosptial's rule to evaluate limits with the indeterminate forms 0/0 or inf/inf. Subscribe for more calculus 1 tutorials!

0:00 limit of (x^3-2x^2+1)/(x^3-1) as x goes to 0
1:28 limit of (e^x-1-x)/x^2 as x goes to 0
3:03 limit of cos(x)/(1-sin(x)) as x goes to (pi/2)^+
5:48 limit of (cos(mx)-cos(nx))/x^2 as x goes to 0
9:48 limit of (ln(x))^2/x as x goes to in

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I love Lopitals rule!!
¡Use the Lopital’s Lu!!!!
=)
Thanks for this!!!

leonardobarrera
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Limit 3: Can you really use LH if the limiit becomes (negative) infinity?

monitng
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Great video, but I think autocorrect got you. L' HoSpital rule?? I know it's just one letter different, but gave me a little laugh. :)

mikefochtman
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And without l'hopital's rules, can you solve it?! 😀😉

klementhajrullaj
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Great video, but let's never forget you can't do that with sin(x)/x when approaching 0!!! Such a common mistake

thedogatemyhomework
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After seeing this video I think I'll cancel my reservation in the L'Hospital

SuryaBudimansyah