What is the limit as x approaches infinity of 1-x^3 ?

The limit as x approaches infinity of 1-x^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 infinity of 1-x^3

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

- \infty

Solution steps

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

Apply Infinity Property:

x \to \infty lim (a x^{n} + \dots + b x + c) = - \infty, a < 0,

n is odd

a = - 1, n = 3

= - \infty

x \to 0 lim (x + \frac{4}{x ^{2}})

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

x \to 0 lim ((1 + x^{2})^{\frac{1}{1 - c o s ( x )}})

x \to \infty lim (\frac{4 x}{x})

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

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