What is the limit as x approaches infinity of e^{-5} ?

The limit as x approaches infinity of e^{-5} is 1/(e^5)

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limit as x approaches infinity of e^{-5}

x \to \infty lim (e^{- 5})

\frac{1}{e ^{5}}

Decimal Notation

0.00673 \dots

Solution steps

x \to \infty lim (e^{- 5})

x \to a lim c = c

= e^{- 5}

Apply exponent rule:

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

= \frac{1}{e ^{5}}

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What is the limit as x approaches infinity of e^{-5} ?
The limit as x approaches infinity of e^{-5} is 1/(e^5)