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

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

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

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

0

Solution steps

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

Plug in the value

x = 0

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

Simplify

= 0

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