What is the limit as x approaches-2 of-(x^2-4)/(x+2) ?

The limit as x approaches-2 of-(x^2-4)/(x+2) is 4

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limit as x approaches-2 of-(x^2-4)/(x+2)

x \to - 2 lim (- \frac{x ^{2} - 4}{x + 2})

4

Solution steps

x \to - 2 lim (- \frac{x ^{2} - 4}{x + 2})

Simplify

- \frac{x ^{2} - 4}{x + 2} : - x + 2

= x \to - 2 lim (- x + 2)

Plug in the value

x = - 2

= - (- 2) + 2

Simplify

= 4

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What is the limit as x approaches-2 of-(x^2-4)/(x+2) ?
The limit as x approaches-2 of-(x^2-4)/(x+2) is 4