What is the limit as x approaches pi/4 of (4x)/(tan(x)) ?

The limit as x approaches pi/4 of (4x)/(tan(x)) is pi

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as x approaches pi/4 of (4x)/(tan(x))

x \to \frac{π}{4} lim (\frac{4 x}{tan ( x )})

π

Decimal Notation

3.14159 \dots

Solution steps

x \to \frac{π}{4} lim (\frac{4 x}{tan ( x )})

Plug in the value

x = \frac{π}{4}

= \frac{4 \cdot \frac{π}{4}}{tan ( \frac{π}{4} )}

Simplify

\frac{4 \cdot \frac{π}{4}}{tan ( \frac{π}{4} )} : π

= π

x \to - 1 lim (2 x^{3} - \frac{3}{x - 1})

x \to 0 - lim (2 (\frac{1}{x} - cot (x)))

x \to \infty lim ((- 1) x)

k \to \infty lim (x^{k})

x \to - \infty lim (x^{9} e^{x})

What is the limit as x approaches pi/4 of (4x)/(tan(x)) ?
The limit as x approaches pi/4 of (4x)/(tan(x)) is pi