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

The limit as x approaches 3 of (x^2+4x-2)^2 is 361

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

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

361

Solution steps

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

Plug in the value

x = 3

= (3^{2} + 4 \cdot 3 - 2)^{2}

Simplify

(3^{2} + 4 \cdot 3 - 2)^{2} : 361

= 361

\frac{d}{d a} ((x - a)^{2})

x \to 2 lim (x - 2)

f (x) = \frac{x}{1 + x ^{2}}, at x = 0

\frac{d}{d x} (- x^{2} + 6)

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

What is the limit as x approaches 3 of (x^2+4x-2)^2 ?
The limit as x approaches 3 of (x^2+4x-2)^2 is 361