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 negative quantity approaching 0 from the left

= - \infty

\frac{e ^{- 4 s}}{( s + 2 ) ^{3}}

x \to 0 + lim (\frac{2 x}{x ^{2}})

\frac{d}{d x} (\frac{5 - 4 x ^{2} + x ^{5}}{x ^{3}})

\int \frac{36}{36 + e ^{x}} d x

x \to 4 lim (\frac{3 x}{x - 4})

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