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

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

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 (tan(ax))/x

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

a

Solution steps

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

Apply L'Hopital's Rule

: x \to 0 lim (\frac{sec ^{2} ( a x ) a}{1})

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

Plug in the value

x = 0

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

Simplify

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

= a

\frac{d}{d x} (\frac{1}{2} sin (x) cos (x))

(\frac{1}{y ^{2}} - \frac{7}{y ^{4}}) (y + 5 y^{3})

\frac{d}{d x} (\frac{1 - sin ( x )}{1 + cos ( 2 x )})

f (x) = - 1

\frac{d}{d z} (\frac{x}{y} - y z)

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