What is the limit as x approaches-0.1 of (e^x-1)/x ?

The limit as x approaches-0.1 of (e^x-1)/x is 0.95162…

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limit as x approaches-0.1 of (e^x-1)/x

x \to - 0.1 lim (\frac{e ^{x} - 1}{x})

0.95162 \dots

Solution steps

x \to - 0.1 lim (\frac{e ^{x} - 1}{x})

Plug in the value

x = - 0.1

= \frac{e ^{- 0.1} - 1}{- 0.1}

Simplify

\frac{e ^{- 0.1} - 1}{- 0.1} : 0.95162 \dots

= 0.95162 \dots

\frac{d x}{d t} = 7 x t^{4}

\frac{d}{d x} (- \frac{18}{a x})

x \to 0 + lim (sin (x) \cdot ln (2 x))

\int (2 x + 5)^{4} d x

d er i v a t i v e y = \frac{4}{3 x ^{2}}

What is the limit as x approaches-0.1 of (e^x-1)/x ?
The limit as x approaches-0.1 of (e^x-1)/x is 0.95162…