l hospitals rule
- Thread starter nat91
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L'Hôpital's rule states that for a limit having an indeterminate form such as \(\displaystyle \dfrac{0}{0}\) or \(\displaystyle \dfrac{\infty}{\infty}\) then:
\(\displaystyle \lim_{x\to c}\dfrac{f(x)}{g(x)}=\lim_{x\to c}\dfrac{f'(x)}{g'(x)}\)
First, make sure you have an indeterminate form as given above, then if so, what do you get when you apply the rule L'Hôpital bought from Bernoulli?
\(\displaystyle \lim_{x\to c}\dfrac{f(x)}{g(x)}=\lim_{x\to c}\dfrac{f'(x)}{g'(x)}\)
First, make sure you have an indeterminate form as given above, then if so, what do you get when you apply the rule L'Hôpital bought from Bernoulli?