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

The limit as x approaches-2 of sqrt(2x^2+1) is 3

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

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

3

Solution steps

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

Plug in the value

x = - 2

= 2 (- 2)^{2} + 1

Simplify

2 (- 2)^{2} + 1 : 3

= 3

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What is the limit as x approaches-2 of sqrt(2x^2+1) ?
The limit as x approaches-2 of sqrt(2x^2+1) is 3