What is the limit as x approaches infinity of e^{-1} ?

The limit as x approaches infinity of e^{-1} is 1/e

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limit as x approaches infinity of e^{-1}

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

\frac{1}{e}

Decimal Notation

0.36787 \dots

Solution steps

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

x \to a lim c = c

= e^{- 1}

Apply exponent rule:

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

= \frac{1}{e}

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What is the limit as x approaches infinity of e^{-1} ?
The limit as x approaches infinity of e^{-1} is 1/e