What is the limit as x approaches 8 of x^4*e^{-x^2} ?

The limit as x approaches 8 of x^4*e^{-x^2} is (4096)/(e^{64)}

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limit as x approaches 8 of x^4*e^{-x^2}

x \to 8 lim (x^{4} \cdot e^{- x^{2}})

\frac{4096}{e ^{64}}

Solution steps

x \to 8 lim (x^{4} e^{- x^{2}})

Plug in the value

x = 8

= 8^{4} e^{- 8^{2}}

Simplify

8^{4} e^{- 8^{2}} : \frac{4096}{e ^{64}}

= \frac{4096}{e ^{64}}

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What is the limit as x approaches 8 of x^4*e^{-x^2} ?
The limit as x approaches 8 of x^4*e^{-x^2} is (4096)/(e^{64)}