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 i

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

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

i

Solution steps

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

Plug in the value

x = 2

= 2^{2} - 5

Simplify

2^{2} - 5 : i

= i

x \to 2 lim ((3 x^{2} + 1)^{x})

x \to - 1 lim (x^{3} + 7 x - 9)

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

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

x \to \frac{1}{4} lim (ln (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 i