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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

\infty

Solution steps

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

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

= - \frac{1}{3} \cdot 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

= - \frac{1}{3} (- \infty)

Apply Infinity Property:

- c \cdot (- \infty) = \infty

= \infty

\int_{0}^{\frac{π}{9}} 7 - 7 cos (3 x) d x

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

f (x) = (csc (3 x - 1))^{\frac{2}{3}}

\int \frac{15 y ^{2} - 2}{y ^{2}} d y

f (x) = 6 tan (x)

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