What is the limit as x approaches 0 of (tan(2x))/x ?

The limit as x approaches 0 of (tan(2x))/x is 2

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(2x))/x

x \to 0 lim (\frac{tan ( 2 x )}{x})

2

Solution steps

x \to 0 lim (\frac{tan ( 2 x )}{x})

Apply L'Hopital's Rule

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

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

Plug in the value

x = 0

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

Simplify

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

= 2

\frac{\partial}{\partial x} (cos (4 y - 2 x))

x^{^{'}} = 2 - x, x (5) = 4

x \to 0 lim ((x^{4}) cos (\frac{2}{x}))

x y^{^{'}} = (1 - x) y + x^{2} + x^{3}, y (3) = 2

\int cos^{2} (x s i) n^{4} x d x

What is the limit as x approaches 0 of (tan(2x))/x ?
The limit as x approaches 0 of (tan(2x))/x is 2