What is the limit as h approaches 1 of (e^{-h}-1)/h ?

The limit as h approaches 1 of (e^{-h}-1)/h is 1/e-1

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limit as h approaches 1 of (e^{-h}-1)/h

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

\frac{1}{e} - 1

Decimal Notation

- 0.63212 \dots

Solution steps

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

Plug in the value

h = 1

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

Simplify

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

= \frac{1}{e} - 1

a^{2} + x^{2}

x \to 3 lim (x^{2} - 3)

\frac{d}{d x} ((x - 1) cos (x))

\frac{d}{d x} (x d x)

\int e^{x} (e^{x} + 1)^{2} d x

What is the limit as h approaches 1 of (e^{-h}-1)/h ?
The limit as h approaches 1 of (e^{-h}-1)/h is 1/e-1