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 right

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

The denominator is a positive quantity approaching 0 from the right

= - \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