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

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

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

\frac{4}{π}

Decimal Notation

1.27323 \dots

Solution steps

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

Plug in the value

x = \frac{π}{4}

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

Simplify

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

= \frac{4}{π}

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

x \to 2 - lim (\frac{∣ 2 - x ∣}{2 - x})

s \to 0 lim (\frac{2 s}{s + 1})

x \to 0 + lim (\frac{x}{e ^{- \frac{5}{x}}})

x \to 8 + lim (\frac{x + 5}{x - 8})

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