What is the limit as x approaches 0 of (2cos(x)-2)/x ?

The limit as x approaches 0 of (2cos(x)-2)/x is 0

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 (2cos(x)-2)/x

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

0

Solution steps

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

Apply L'Hopital's Rule

: x \to 0 lim (\frac{- 2 sin ( x )}{1})

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

Plug in the value

x = 0

= \frac{- 2 sin ( 0 )}{1}

Simplify

\frac{- 2 sin ( 0 )}{1} : 0

= 0

x \to \infty lim (7^{x})

\int \frac{cos ^{2} ( x )}{x} d x

x \to \infty lim (3^{x} - 1)

\frac{d}{d x} ((- x^{2} + 6 x - 4)^{5})

\frac{d}{d x} (\frac{4 - 3 x - x ^{2}}{x ^{2} - 6})

What is the limit as x approaches 0 of (2cos(x)-2)/x ?
The limit as x approaches 0 of (2cos(x)-2)/x is 0