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 -infinity

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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})

- \infty

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})

For

x

approaching

2

from the left

, x < 2 \Rightarrow x - 2 < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

\int cos (4 x) (1 - sin (4 x))^{2} d x

\int_{0}^{1} \frac{4}{1 + x ^{2}} d x

\frac{d}{d x} (e^{x y} y)

\int (x + 3) 7 - x d x

x \to 0 lim (x^{4} sin (\frac{3}{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 -infinity