What is the limit as x approaches 2 of x^2+2x+3 ?

The limit as x approaches 2 of x^2+2x+3 is 11

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limit as x approaches 2 of x^2+2x+3

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

11

Solution steps

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

Plug in the value

x = 2

= 2^{2} + 2 \cdot 2 + 3

Simplify

= 11

y = 4 x + 12, y = x^{2}

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What is the limit as x approaches 2 of x^2+2x+3 ?
The limit as x approaches 2 of x^2+2x+3 is 11