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

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

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

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

\infty

Solution steps

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

For

x

approaching

- 1

from the right

, x > - 1 \Rightarrow x^{2} - 1 < 0

The denominator is a negative quantity approaching 0 from the left

= \infty

\int e^{4 x} sin (x) d x

x^{2} - 5 x + 5 (6.11)

\int_{1}^{e^{6}} \frac{1}{x ( 2 + ln ( x ) )} d x

\frac{d}{d x} (csc (9 x))

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