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 right

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

The denominator is a positive quantity approaching 0 from the right

= - \infty

x \to 2 lim ((x^{2} + 3) (x - 4))

x \to 1 - lim (\frac{- 3 ( x ^{2} - 1 )}{2 x ^{2} + 2 x - 4})

x \to \infty lim (\frac{4 x ^{2} - 16}{x ^{2} - 4})

x \to \infty lim (\frac{( 2 e ^{x} - 3 )}{e ^{x} + 5})

x \to - 2 lim (\frac{x ^{3} + 2 x ^{2}}{5 - 3 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