What is the limit as x approaches 1-of 4/(x^3-1) ?

The limit as x approaches 1-of 4/(x^3-1) is -infinity

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limit as x approaches 1-of 4/(x^3-1)

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

- \infty

Solution steps

x \to 1 - lim (\frac{4}{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{d}{d x} (3 (x)^{3} + cos (x))

x \to 0 lim (x^{2} csc^{2} (x))

\frac{d}{d x} (tan (x) - x + 1)

\frac{d}{d x} (1 + x^{256} - 1)

y^{^{''}} - 6 y^{^{'}} = 9 t

What is the limit as x approaches 1-of 4/(x^3-1) ?
The limit as x approaches 1-of 4/(x^3-1) is -infinity