What is the limit as x approaches infinity of (1/2)^{infinity} ?

The limit as x approaches infinity of (1/2)^{infinity} 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 (1/2)^{infinity}

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

\infty

Solution steps

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

x \to a lim c = c

= (\frac{1}{2})^{\infty}

Apply Infinity Property:

a^{\infty} = \infty, a > 0

= \infty

What is the limit as x approaches infinity of (1/2)^{infinity} ?
The limit as x approaches infinity of (1/2)^{infinity} is infinity