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

The limit as x approaches pi/4 of (sin(x))/x is (2sqrt(2))/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 (sin(x))/x

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

\frac{2 2}{π}

Decimal Notation

0.90031 \dots

Solution steps

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

Plug in the value

x = \frac{π}{4}

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

Simplify

\frac{sin ( \frac{π}{4} )}{\frac{π}{4}} : \frac{2 2}{π}

= \frac{2 2}{π}

\frac{d y}{d t} = 2 y

\frac{d}{d y} (4 - y^{2})

\int_{- 7}^{0} (4 + 49 - x^{2}) d x

\int \frac{2 x ^{2} + 5 x + 2}{( x ^{2} + 1 ) ^{2}} d x

e^{y^{2}} d x + x^{2} y d y = 0

What is the limit as x approaches pi/4 of (sin(x))/x ?
The limit as x approaches pi/4 of (sin(x))/x is (2sqrt(2))/pi