What is the limit as θ approaches 0 of θ/(sin(θ)) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

limit as θ approaches 0 of θ/(sin(θ))

θ \to 0 lim (\frac{θ}{sin ( θ )})

1

Solution steps

θ \to 0 lim (\frac{θ}{sin ( θ )})

Apply L'Hopital's Rule

= θ \to 0 lim (\frac{1}{cos ( θ )})

Plug in the value

θ = 0

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

Simplify

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

= 1

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