What is the limit as x approaches sqrt(3) of |x^2-8| ?

The limit as x approaches sqrt(3) of |x^2-8| is 5

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limit as x approaches sqrt(3) of |x^2-8|

x \to 3 lim (x^{2} - 8)

5

Solution steps

x \to 3 lim (x^{2} - 8)

Plug in the value

x = 3

= (3)^{2} - 8

Simplify

(3)^{2} - 8 : 5

= 5

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

x \to 0 - lim (1 - \frac{1}{x})

x \to - 1 - lim (x^{2} - 1)

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

x \to - \frac{π}{2} - lim (- 6 x - \frac{π}{2})

What is the limit as x approaches sqrt(3) of |x^2-8| ?
The limit as x approaches sqrt(3) of |x^2-8| is 5