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})

For

x

approaching

- 2

from the left

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

The denominator is a positive quantity approaching 0 from the right

= \infty

\frac{d}{d t} (arctan (\frac{y}{x}))

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

\int y cos (y) d y

\int_{0}^{\infty} e^{- 0.5 x} d x

\int \frac{cos ( x )}{2 x} d x

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