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

The limit as x approaches 1 of x/(e^x) is 1/e

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

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

\frac{1}{e}

Decimal

0.36787 \dots

Solution steps

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

Plug in the value

x = 1

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

Simplify

= \frac{1}{e}

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