What is the limit as x approaches infinity of (x!)^2 ?

The limit as x approaches infinity of (x!)^2 is infinity

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

limit as x approaches infinity of (x!)^2

x \to \infty lim ((x!)^{2})

\infty

Solution steps

x \to \infty lim (x!^{2})

x \to a lim [f (x)]^{b} = [x \to a lim f (x)]^{b}

With the exception of indeterminate form

= (x \to \infty lim (x!))^{2}

Apply the common limit:

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

= \infty^{2}

Apply Infinity Property:

\infty^{c} = \infty

= \infty

What is the limit as x approaches infinity of (x!)^2 ?
The limit as x approaches infinity of (x!)^2 is infinity