What is (e^{-0.1}-1)/(-0.1) ?

The solution to (e^{-0.1}-1)/(-0.1) is 0.95162…

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simplify (e^{-0.1}-1)/(-0.1)

simplify

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

0.95162 \dots

Solution steps

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

Apply the fraction rule:

\frac{- a}{- b} = \frac{a}{b}

e^{- 0.1} - 1 = - (- e^{- 0.1} + 1)

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

e^{- 0.1} = 0.90483 \dots

= \frac{- 0.90483 \dots + 1}{0.1}

Add/Subtract the numbers:

- 0.90483 \dots + 1 = 0.09516 \dots

= \frac{0.09516 \dots}{0.1}

Divide the numbers:

\frac{0.09516 \dots}{0.1} = 0.95162 \dots

= 0.95162 \dots

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