What is the limit as x approaches 0 of xe^{-2x} ?

The limit as x approaches 0 of xe^{-2x} is 0

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limit as x approaches 0 of xe^{-2x}

x \to 0 lim (x e^{- 2 x})

0

Solution steps

x \to 0 lim (x e^{- 2 x})

Plug in the value

x = 0

= 0 \cdot e^{- 2 \cdot 0}

Simplify

= 0

\int x^{13} d x

\frac{d}{d x} ((x^{3} + 7) e^{x})

t e^{2 t} sin (6 t)

\int 8 x^{2} + 3 x - 5 d x

y^{^{'}} = 4 x + y, y (0) = 5

What is the limit as x approaches 0 of xe^{-2x} ?
The limit as x approaches 0 of xe^{-2x} is 0