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

The limit as x approaches 2 of sqrt(x^2-9) is sqrt(5)i

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

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

5 i

Solution steps

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

Plug in the value

x = 2

= 2^{2} - 9

Simplify

2^{2} - 9 : 5 i

= 5 i

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What is the limit as x approaches 2 of sqrt(x^2-9) ?
The limit as x approaches 2 of sqrt(x^2-9) is sqrt(5)i