EasyCalculus & Linear AlgebraAcceptance 84%

L'Hôpital — (eˣ−1)/x

Goldman SachsMorgan Stanley

Evaluate lim⁡x→0ex−1x\lim_{x\to 0} \dfrac{e^x - 1}{x}.

Approach

It is 0/0 — differentiate top and bottom, or use the Taylor series of exe^x.

Answer

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