For an indeterminate 0/0 at x=a, \lim{x o a} \dfrac{f(x)}{g(x)} equals (if exists):

Question

For an indeterminate 0/0 at x=a, \lim{x	o a} \dfrac{f(x)}{g(x)} equals (if exists):

Accepted Answer

\lim{x	o a} \dfrac{f'(x)}{g'(x)}

L'Hopital's rule: under 0/0 or \infty/\infty, the limit equals the limit of f'/g'.

Answer

0

Answer

\infty

Answer

\dfrac{f'(a)}{g'(a)} always

Answer

\lim{x	o a} \dfrac{f'(x)}{g'(x)}

L'Hôpital's Rule