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

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