What is the limit as x approaches 2 of (e^x)/(x^3) ?

The limit as x approaches 2 of (e^x)/(x^3) is (e^2)/8

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limit as x approaches 2 of (e^x)/(x^3)

x \to 2 lim (\frac{e ^{x}}{x ^{3}})

\frac{e ^{2}}{8}

Decimal

0.92363 \dots

Solution steps

x \to 2 lim (\frac{e ^{x}}{x ^{3}})

Plug in the value

x = 2

= \frac{e ^{2}}{2 ^{3}}

Simplify

= \frac{e ^{2}}{8}

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What is the limit as x approaches 2 of (e^x)/(x^3) ?
The limit as x approaches 2 of (e^x)/(x^3) is (e^2)/8