What is the limit as x approaches-3 of sqrt(x^2-9)+2 ?

The limit as x approaches-3 of sqrt(x^2-9)+2 is 2

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limit as x approaches-3 of sqrt(x^2-9)+2

x \to - 3 lim (x^{2} - 9 + 2)

2

Solution steps

x \to - 3 lim (x^{2} - 9 + 2)

Plug in the value

x = - 3

= (- 3)^{2} - 9 + 2

Simplify

(- 3)^{2} - 9 + 2 : 2

= 2

What is the limit as x approaches-3 of sqrt(x^2-9)+2 ?
The limit as x approaches-3 of sqrt(x^2-9)+2 is 2