What is the limit as x approaches-9-of sqrt(x^2-81) ?

The limit as x approaches-9-of sqrt(x^2-81) is 0

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limit as x approaches-9-of sqrt(x^2-81)

x \to - 9 - lim (x^{2} - 81)

0

Solution steps

x \to - 9 - lim (x^{2} - 81)

Plug in the value

x = - 9

= (- 9)^{2} - 81

Simplify

(- 9)^{2} - 81 : 0

= 0

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What is the limit as x approaches-9-of sqrt(x^2-81) ?
The limit as x approaches-9-of sqrt(x^2-81) is 0