What is the limit as x approaches 0 of cos^{2/x}(x) ?

The limit as x approaches 0 of cos^{2/x}(x) is 1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

limit as x approaches 0 of cos^{2/x}(x)

x \to 0 lim (cos^{\frac{2}{x}} (x))

1

Solution steps

x \to 0 lim (cos^{\frac{2}{x}} (x))

x \to a - lim f (x) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

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

x \to 0 + lim (cos^{\frac{2}{x}} (x)) = 1

= 1

What is the limit as x approaches 0 of cos^{2/x}(x) ?
The limit as x approaches 0 of cos^{2/x}(x) is 1