What is the limit as x approaches 0 of (sin(11x))/x ?

The limit as x approaches 0 of (sin(11x))/x is 11

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(11x))/x

x \to 0 lim (\frac{sin ( 11 x )}{x})

11

Solution steps

x \to 0 lim (\frac{sin ( 11 x )}{x})

Apply L'Hopital's Rule

: x \to 0 lim (\frac{cos ( 11 x ) \cdot 11}{1})

= x \to 0 lim (\frac{cos ( 11 x ) \cdot 11}{1})

Plug in the value

x = 0

= \frac{cos ( 11 \cdot 0 ) \cdot 11}{1}

Simplify

\frac{cos ( 11 \cdot 0 ) \cdot 11}{1} : 11

= 11

(arcsin (x))^{e^{- x}}

lo g_{5} (sin (x))

\int_{\frac{1}{5}}^{3} 4 x ln (5 x) d x

n = 1 \sum \infty \frac{7}{1 0 ^{n}}

f (x) = 2 x^{3} + 36 x^{2} + 192 x + 8

What is the limit as x approaches 0 of (sin(11x))/x ?
The limit as x approaches 0 of (sin(11x))/x is 11