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

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

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

x \to - 2 + lim (- \frac{1}{x ^{2} - 4})

\infty

Solution steps

x \to - 2 + lim (- \frac{1}{x ^{2} - 4})

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= - x \to - 2 + lim (\frac{1}{x ^{2} - 4})

For

x

approaching

- 2

from the right

, x > - 2 \Rightarrow x^{2} - 4 < 0

The denominator is a negative quantity approaching 0 from the left

= - (- \infty)

Simplify

= \infty

\frac{d}{d x} (- a x + \frac{d}{x ^{2}})

\frac{s}{( s ^{2} + 1 ) ( s ^{2} - 2 s + 2 )}

\int \frac{x - 5}{x ^{2} + 9} d x

\int x^{2} sin (2 A x) d x

\frac{d y}{d x} = 4 y e^{x + 10}

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