What is the limit as x approaches 0 of (tan(12x))/x ?

The limit as x approaches 0 of (tan(12x))/x is 12

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

limit as x approaches 0 of (tan(12x))/x

x \to 0 lim (\frac{tan ( 12 x )}{x})

12

Solution steps

x \to 0 lim (\frac{tan ( 12 x )}{x})

Apply L'Hopital's Rule

= x \to 0 lim (\frac{sec ^{2} ( 12 x ) \cdot 12}{1})

Plug in the value

x = 0

= \frac{sec ^{2} ( 12 \cdot 0 ) \cdot 12}{1}

Simplify

\frac{sec ^{2} ( 12 \cdot 0 ) \cdot 12}{1} : 12

= 12

What is the limit as x approaches 0 of (tan(12x))/x ?
The limit as x approaches 0 of (tan(12x))/x is 12