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##?

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# L'Hospital's rule and indeterminate forms

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