What is the limit as x approaches 0 of (3-3cos(x))/x ?

The limit as x approaches 0 of (3-3cos(x))/x is 0

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 (3-3cos(x))/x

x \to 0 lim (\frac{3 - 3 cos ( x )}{x})

0

Solution steps

x \to 0 lim (\frac{3 - 3 cos ( x )}{x})

Apply L'Hopital's Rule

= x \to 0 lim (\frac{3 sin ( x )}{1})

Plug in the value

x = 0

= \frac{3 sin ( 0 )}{1}

Simplify

\frac{3 sin ( 0 )}{1} : 0

= 0

\frac{d}{d x} (e^{e^{3 x^{2}}})

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

\frac{d}{d x} (\frac{7}{sin ( x ) + cos ( x )})

\int sin^{4} (x) cos^{7} (x) d x

\int 4 x - 11 d x

What is the limit as x approaches 0 of (3-3cos(x))/x ?
The limit as x approaches 0 of (3-3cos(x))/x is 0