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

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

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

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

\infty

Solution steps

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

For

x

approaching

- 1

from the right

, x > - 1 \Rightarrow 1 + x > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

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