What is the limit as x approaches 1-of 9/(x^3-1) ?

The limit as x approaches 1-of 9/(x^3-1) is -infinity

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limit as x approaches 1-of 9/(x^3-1)

x \to 1 - lim (\frac{9}{x ^{3} - 1})

- \infty

Solution steps

x \to 1 - lim (\frac{9}{x ^{3} - 1})

For

x

approaching

1

from the left

, x < 1 \Rightarrow x^{3} - 1 < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

y^{^{'}} = \frac{( x ^{2} + y ^{2} )}{2 x y}

\frac{\partial}{\partial y} (\frac{1}{x + y ^{2}})

\int \frac{x - 3}{6 x - x ^{2}} d x

\frac{d}{d x} (ln (cos (x)))

What is the limit as x approaches 1-of 9/(x^3-1) ?
The limit as x approaches 1-of 9/(x^3-1) is -infinity