What is the limit as x approaches 0 of (1-cos(x))^x ?

The limit as x approaches 0 of (1-cos(x))^x is 1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as x approaches 0 of (1-cos(x))^x

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

1

Solution steps

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

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

= 1

x \to 1 lim (x - 4)

x \to 0 lim (ln (ln (x)))

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

x \to 2 lim (6 x^{2} + 7 x - 3)

x \to 1 lim (x^{5} + 5 x^{4} - x - 1)

What is the limit as x approaches 0 of (1-cos(x))^x ?
The limit as x approaches 0 of (1-cos(x))^x is 1