What is the limit as x approaches infinity of (x)x ?

The limit as x approaches infinity of (x)x 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 (x)x

x \to \infty lim ((x) x)

\infty

Solution steps

x \to \infty lim (xx)

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

With the exception of indeterminate form

= x \to \infty lim (x) \cdot x \to \infty lim (x)

x \to \infty lim (x) = \infty

= \infty \cdot \infty

Apply Infinity Property:

\infty \infty = \infty

= \infty

x \to - 3 lim (3 x + 2)

x \to 0 + lim (\frac{9 x}{∣ x ∣})

x \to 0 lim (\frac{3 x}{2 x})

x \to 0 - lim (x e^{x})

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

What is the limit as x approaches infinity of (x)x ?
The limit as x approaches infinity of (x)x is infinity