What is the limit as x approaches-1 of (x+2x^3)^4 ?

The limit as x approaches-1 of (x+2x^3)^4 is 81

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limit as x approaches-1 of (x+2x^3)^4

x \to - 1 lim ((x + 2 x^{3})^{4})

81

Solution steps

x \to - 1 lim ((x + 2 x^{3})^{4})

Plug in the value

x = - 1

= (- 1 + 2 (- 1)^{3})^{4}

Simplify

(- 1 + 2 (- 1)^{3})^{4} : 81

= 81

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What is the limit as x approaches-1 of (x+2x^3)^4 ?
The limit as x approaches-1 of (x+2x^3)^4 is 81