What is the limit as x approaches 2 of 4x^2-2x-6 ?

The limit as x approaches 2 of 4x^2-2x-6 is 6

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limit as x approaches 2 of 4x^2-2x-6

x \to 2 lim (4 x^{2} - 2 x - 6)

6

Solution steps

x \to 2 lim (4 x^{2} - 2 x - 6)

Plug in the value

x = 2

= 4 \cdot 2^{2} - 2 \cdot 2 - 6

Simplify

4 \cdot 2^{2} - 2 \cdot 2 - 6 : 6

= 6

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What is the limit as x approaches 2 of 4x^2-2x-6 ?
The limit as x approaches 2 of 4x^2-2x-6 is 6