I want to make sure I understand the conditions required for L'Hospital's Rule to work.(adsbygoogle = window.adsbygoogle || []).push({});

$$\lim_{x \rightarrow a} \frac{f(x)}{g(x)} = \lim_{x \rightarrow a} \frac{f'(x)}{g'(x)}$$

If ##\lim_{x \rightarrow a} \frac{f'(x)}{g'(x)}## exists.

Should ##f## and ##g## be differentiable at ##a##? Or just around ##a##?

Also, would it work if ##g'(a) = 0##?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# L'Hospital's rule and indeterminate forms

**Physics Forums | Science Articles, Homework Help, Discussion**