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

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

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

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

- \infty

Solution steps

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

x y^{^{'}} + y = 6 x y^{2}, y (1) = - 8

\int_{2}^{13} \frac{1}{x ^{3} - 8} d x

\int (3 x + 4)^{\frac{1}{2}} d x

(x y^{2} + 3 y^{2}) d y - 2 x d x = 0

\frac{d}{d x} (\frac{5}{4 + x})

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