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

The limit as x approaches-2 of (x+2)/(x^2-4) is -1/4

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

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

- \frac{1}{4}

Solution steps

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

Simplify

\frac{x + 2}{x ^{2} - 4} : \frac{1}{x - 2}

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

Plug in the value

x = - 2

= \frac{1}{- 2 - 2}

Simplify

= - \frac{1}{4}

x \to 3 lim (- (3 - x))

f (x) = - 2 x^{2} - 20 x - 48

f (x) = - 4 cos (x), at x = \frac{π}{2}

\int x^{2} e^{2} x d x

\int (x^{2} - 1) e^{x} d x

What is the limit as x approaches-2 of (x+2)/(x^2-4) ?
The limit as x approaches-2 of (x+2)/(x^2-4) is -1/4