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

The limit as x approaches-2 of (x+1)^4(2x^2) is 8

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

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

8

Solution steps

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

Plug in the value

x = - 2

= (- 2 + 1)^{4} \cdot 2 (- 2)^{2}

Simplify

(- 2 + 1)^{4} \cdot 2 (- 2)^{2} : 8

= 8

What is the limit as x approaches-2 of (x+1)^4(2x^2) ?
The limit as x approaches-2 of (x+1)^4(2x^2) is 8