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

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

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

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

- \infty

Solution steps

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

For

x

approaching

- 2

from the right

, x > - 2 \Rightarrow x + 2 > 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) ?
The limit as x approaches-2+of (-1)/(x+2) is -infinity