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

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

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

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

0

Solution steps

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

Plug in the value

x = 0

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

Simplify

= 0

\frac{d}{d x} (\frac{1}{3} x^{\frac{3}{2}} - x^{\frac{1}{2}})

\frac{d y}{d x} + 6 y = 9

\int_{0}^{5} x^{2} (x - 5)^{4} d x

x \to 2 lim (\frac{x - 2}{x ^{3} - 8})

f^{^{'}} (x) = x^{3} - 5 x^{2} + 3

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