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} y z^{2} + 4 yz)

\int 4 x^{5} e^{x^{6}} d x

\frac{\partial}{\partial y} (6 x + 10 y)

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

5 x^{^{''}} + 5 x^{^{'}} + 6 x = 0, x^{^{'}} (0) = 0.45, x (0) = - 0.3

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