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

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

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 x/(sin(x))

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

1

Solution steps

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

Apply L'Hopital's Rule

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

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

Plug in the value

x = 0

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

Simplify

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

= 1

\int y^{2} cos (x) - sin (x) d x

- 5, 2, 2 x^{2} + 3, 0

x \to 0 lim (\frac{1 2 ^{x} - 5 ^{x}}{x})

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

\int 20 x^{2} + 3 x - 9 d x

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