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

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

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 (cos(x))^{1/((x^2))}

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

diverges

Solution steps

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

Apply Limit Divergence Criterion:

diverges

= diverges

x \to 1 lim (\frac{x ^{11} + 2 x - 3}{x ^{7} + x ^{2} - x - 1})

x \to 0 lim (\frac{1}{x} - \frac{1}{e ^{2} - 1})

x \to - 3 lim (\frac{x + 1}{x ^{2} - 9})

x \to 0 lim (cos (x))

x \to \frac{π}{3} lim \frac{( sin ( x ) - \frac{3}{2} )}{x - \frac{π}{3}}

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