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

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

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

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

- \infty

Solution steps

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

\frac{e ^{- 10 s}}{s ^{2}}

x = - 3, x = 3, y = 2 e^{2 x}, y = e^{2 x} + 1

\int_{0}^{2 π} π cos^{2} (x) d x

\frac{d}{d x} (ab)

\int \frac{8 x + 10}{2 x ^{2} + 5 x} d x

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