What is the limit as x approaches 0 of (sin(14x))/x ?

The limit as x approaches 0 of (sin(14x))/x is 14

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(14x))/x

x \to 0 lim (\frac{sin ( 14 x )}{x})

14

Solution steps

x \to 0 lim (\frac{sin ( 14 x )}{x})

Apply L'Hopital's Rule

: x \to 0 lim (\frac{cos ( 14 x ) \cdot 14}{1})

= x \to 0 lim (\frac{cos ( 14 x ) \cdot 14}{1})

Plug in the value

x = 0

= \frac{cos ( 14 \cdot 0 ) \cdot 14}{1}

Simplify

\frac{cos ( 14 \cdot 0 ) \cdot 14}{1} : 14

= 14

\frac{d}{d x} (sin (x + sin (5 x)))

\int sin (e^{x}) d x

f (x) = 8 (2 x - 3)^{3}

\frac{\partial}{\partial y} (- x^{2} y + cos (x))

x \to 2 lim (5 π)

What is the limit as x approaches 0 of (sin(14x))/x ?
The limit as x approaches 0 of (sin(14x))/x is 14