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 negative quantity approaching 0 from the left

= \infty

\int \frac{1}{1 - 5 x} d x

\frac{d r}{d θ} r = (7 + sec (θ)) sin (θ)

x^{2} 3 x + 5

\int \frac{x}{( x ^{2} + 7 ) ^{2}} d x

f (x) = (- 3 x^{3} + 3 x^{2})^{3}

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