What is the limit as x approaches-0.001 of (e^x-1)/x ?

The limit as x approaches-0.001 of (e^x-1)/x is 0.99950…

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limit as x approaches-0.001 of (e^x-1)/x

x \to - 0.001 lim (\frac{e ^{x} - 1}{x})

0.99950 \dots

Solution steps

x \to - 0.001 lim (\frac{e ^{x} - 1}{x})

Plug in the value

x = - 0.001

= \frac{e ^{- 0.001} - 1}{- 0.001}

Simplify

\frac{e ^{- 0.001} - 1}{- 0.001} : 0.99950 \dots

= 0.99950 \dots

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What is the limit as x approaches-0.001 of (e^x-1)/x ?
The limit as x approaches-0.001 of (e^x-1)/x is 0.99950…