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 left

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

The denominator is a positive quantity approaching 0 from the right

= - \infty

1 + x^{3}

\frac{d}{d x} (e^{r (x) x})

\frac{d}{d y} (sin (x) cos (y))

f (x) = e^{- x^{2}}, at x = 5

x \to 0 lim (- \frac{3}{1 - 3 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