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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as t approaches 0 of t/(sin(t))

t \to 0 lim (\frac{t}{sin ( t )})

1

Solution steps

t \to 0 lim (\frac{t}{sin ( t )})

Apply L'Hopital's Rule

: t \to 0 lim (\frac{1}{cos ( t )})

= t \to 0 lim (\frac{1}{cos ( t )})

Plug in the value

t = 0

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

Simplify

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

= 1

x \to 0 + lim (sin (2 x))

x \to 1 lim ((x + 1)^{2})

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

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

x \to 2 lim (\frac{3 x + 4}{2 x + 1})

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