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

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