What is the limit as θ approaches 0 of (1-cos(θ))/θ ?

The limit as θ approaches 0 of (1-cos(θ))/θ is 0

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as θ approaches 0 of (1-cos(θ))/θ

θ \to 0 lim (\frac{1 - cos ( θ )}{θ})

0

Solution steps

θ \to 0 lim (\frac{1 - cos ( θ )}{θ})

Apply L'Hopital's Rule

: θ \to 0 lim (\frac{sin ( θ )}{1})

= θ \to 0 lim (\frac{sin ( θ )}{1})

Plug in the value

θ = 0

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

Simplify

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

= 0

\frac{d}{d t} (9 sin (t) - sin (9 t))

x \to 0 lim (\frac{sin ^{8} ( x )}{x})

\int \frac{x - 3}{( x - 5 ) ^{2}} d x

\int_{0}^{x^{2}} e^{- t^{2}} d t

\int_{0}^{3} x^{3} x^{2} + 9 d x

What is the limit as θ approaches 0 of (1-cos(θ))/θ ?
The limit as θ approaches 0 of (1-cos(θ))/θ is 0