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

The limit as x approaches 1 of (x+2)^4(4x^2) is 324

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

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

324

Solution steps

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

Plug in the value

x = 1

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

Simplify

(1 + 2)^{4} \cdot 4 \cdot 1^{2} : 324

= 324

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What is the limit as x approaches 1 of (x+2)^4(4x^2) ?
The limit as x approaches 1 of (x+2)^4(4x^2) is 324