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

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

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 (x^3-3x)/x

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

- 3

Solution steps

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

Simplify

\frac{x ^{3} - 3 x}{x} : x^{2} - 3

= x \to 0 lim (x^{2} - 3)

Plug in the value

x = 0

= 0^{2} - 3

Simplify

= - 3

x \to 0 + lim ((e^{2 x} + x)^{\frac{1}{( 3 x )}})

x \to 0 lim (x ln (3 x))

x \to 5 lim (\frac{x ^{2} - 5}{x - 5})

x \to \infty lim (3, x)

x \to 0 lim (ln (1 + 2 x))

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