What is the limit as x approaches 1 of xe^{-2x} ?

The limit as x approaches 1 of xe^{-2x} is 1/(e^2)

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limit as x approaches 1 of xe^{-2x}

x \to 1 lim (x e^{- 2 x})

\frac{1}{e ^{2}}

Decimal

0.13533 \dots

Solution steps

x \to 1 lim (x e^{- 2 x})

Plug in the value

x = 1

= 1 \cdot e^{- 2 \cdot 1}

Simplify

1 \cdot e^{- 2 \cdot 1} : \frac{1}{e ^{2}}

= \frac{1}{e ^{2}}

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What is the limit as x approaches 1 of xe^{-2x} ?
The limit as x approaches 1 of xe^{-2x} is 1/(e^2)