What is the limit as x approaches 1-of 2/(x^3-1) ?

The limit as x approaches 1-of 2/(x^3-1) is -infinity

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limit as x approaches 1-of 2/(x^3-1)

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

- \infty

Solution steps

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

\int cos (4 x - 2) d x

\frac{d}{d x} ((x + 5) (x^{3} - 1) (x^{2} - x + 3))

8 t^{2}

\int_{0}^{0.6} 100 x d x

What is the limit as x approaches 1-of 2/(x^3-1) ?
The limit as x approaches 1-of 2/(x^3-1) is -infinity