What is the limit as x approaches 0-of-1/(x^3) ?

The limit as x approaches 0-of-1/(x^3) is infinity

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limit as x approaches 0-of-1/(x^3)

x \to 0 - lim (- \frac{1}{x ^{3}})

\infty

Solution steps

x \to 0 - lim (- \frac{1}{x ^{3}})

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= - x \to 0 - lim (\frac{1}{x ^{3}})

For

x

approaching

0

from the left

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

The denominator is a negative quantity approaching 0 from the left

= - (- \infty)

Simplify

= \infty

\int_{5}^{10} \frac{y}{y ^{2} - y - 2} d y

8 sec (x)

x \to - a lim (x)

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

\int ((x + 1) (3 x - 2)) d x

What is the limit as x approaches 0-of-1/(x^3) ?
The limit as x approaches 0-of-1/(x^3) is infinity