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

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

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

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

4

Solution steps

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

Plug in the value

x = - 2

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

Simplify

3 (- 2)^{2} + 4 : 4

= 4

x \to - 1 + lim (2 x + 1)

x \to 0 + lim ((1 + 5 x)^{\frac{2}{x}})

x \to 0 lim (sin (\frac{1}{x}) x^{2})

x \to 1 lim (\frac{3 x}{x - 1})

x \to \frac{1}{5} lim (2 + (5 x - 1))

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