What is the limit as x approaches-1 of (x-31)^{2/5} ?

The limit as x approaches-1 of (x-31)^{2/5} is 4(-1)^{2/5}

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limit as x approaches-1 of (x-31)^{2/5}

x \to - 1 lim ((x - 31)^{\frac{2}{5}})

4 (- 1)^{\frac{2}{5}}

Solution steps

x \to - 1 lim ((x - 31)^{\frac{2}{5}})

Plug in the value

x = - 1

= (- 1 - 31)^{\frac{2}{5}}

Simplify

(- 1 - 31)^{\frac{2}{5}} : 4 (- 1)^{\frac{2}{5}}

= 4 (- 1)^{\frac{2}{5}}

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What is the limit as x approaches-1 of (x-31)^{2/5} ?
The limit as x approaches-1 of (x-31)^{2/5} is 4(-1)^{2/5}