What is the limit as x approaches-2 of sqrt(x^2+5) ?

The limit as x approaches-2 of sqrt(x^2+5) is 3

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limit as x approaches-2 of sqrt(x^2+5)

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

3

Solution steps

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

Plug in the value

x = - 2

= (- 2)^{2} + 5

Simplify

(- 2)^{2} + 5 : 3

= 3

f (x) = x^{2}, g (x) = x + 2

(x^{2} + 1) y^{^{'}} + 3 x (y - 1) = 0, y (0) = 9

f (x) = x^{2} + 2 x - 3

x \to \frac{π}{2} lim (f (x))

\int 5^{3 - 2 x} d x

What is the limit as x approaches-2 of sqrt(x^2+5) ?
The limit as x approaches-2 of sqrt(x^2+5) is 3