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

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

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

1

Solution steps

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

Apply L'Hopital's Rule

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

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

Plug in the value

x = 0

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

Simplify

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

= 1

\frac{\partial}{\partial x} (- x^{3} + 6 x^{2} y^{3} + 5 y^{2})

\int \frac{2 x + 3}{( 2 x ^{2} + 6 x ) ^{4}} d x

\frac{d x}{d t} = \frac{1}{t ( 1 - t )}

\frac{d}{d t} (x y)

7 x sin (π x)

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