What is the limit as x approaches 0 of x^7e^{-x^6} ?

The limit as x approaches 0 of x^7e^{-x^6} is 0

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limit as x approaches 0 of x^7e^{-x^6}

x \to 0 lim (x^{7} e^{- x^{6}})

0

Solution steps

x \to 0 lim (x^{7} e^{- x^{6}})

Plug in the value

x = 0

= 0^{7} e^{- 0^{6}}

Simplify

= 0

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What is the limit as x approaches 0 of x^7e^{-x^6} ?
The limit as x approaches 0 of x^7e^{-x^6} is 0