What is the limit as x approaches 0 of (sin(20x))/x ?

The limit as x approaches 0 of (sin(20x))/x is 20

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(20x))/x

x \to 0 lim (\frac{sin ( 20 x )}{x})

20

Solution steps

x \to 0 lim (\frac{sin ( 20 x )}{x})

Apply L'Hopital's Rule

: x \to 0 lim (\frac{cos ( 20 x ) \cdot 20}{1})

= x \to 0 lim (\frac{cos ( 20 x ) \cdot 20}{1})

Plug in the value

x = 0

= \frac{cos ( 20 \cdot 0 ) \cdot 20}{1}

Simplify

\frac{cos ( 20 \cdot 0 ) \cdot 20}{1} : 20

= 20

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

\int (tan (θ) sec (θ)) d θ

\int \frac{1 - cos ( x )}{1 + cos ( x )} d x

\int e^{2 x - 7} d x

\frac{d}{d x} (4 arcsin (x^{3}))

What is the limit as x approaches 0 of (sin(20x))/x ?
The limit as x approaches 0 of (sin(20x))/x is 20