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

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

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

- \infty

Solution steps

x \to \infty lim (3 x - 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 6 lim (cos (\frac{1}{x} - \frac{1}{6}))

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

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

x \to 0 lim (sin (∣ x ∣) (\frac{1}{x}))

x \to - 4 lim (g (x))

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