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

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

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

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

\infty

Solution steps

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

For

x

approaching

- 1

from the left

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

The denominator is a negative quantity approaching 0 from the left

= \infty

x \to a lim (x^{2} - a x)

x \to 2 lim (9 - 2 x)

x \to 0 + lim (\frac{11}{x ^{2}})

x \to 4 lim (2 x - 8)

x \to 0 - lim (\frac{1}{x} sin (x))

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