Category:Examples of Use of L'Hôpital's Rule
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This category contains examples of use of L'Hôpital's Rule.
Let $f$ and $g$ be real functions which are differentiable on the open interval $\openint a b$.
Let:
- $\forall x \in \openint a b: \map {g'} x \ne 0$
where $g'$ denotes the derivative of $g$ with respect to $x$.
Let:
- $\ds \lim_{x \mathop \to a^+} \map f x = \lim_{x \mathop \to a^+} \map g x = 0$
Then:
- $\ds \lim_{x \mathop \to a^+} \frac {\map f x} {\map g x} = \lim_{x \mathop \to a^+} \frac {\map {f'} x} {\map {g'} x}$
provided that the second limit exists.
Pages in category "Examples of Use of L'Hôpital's Rule"
The following 2 pages are in this category, out of 2 total.