What is the limit as t approaches pi of sin(3/4 t) ?

The limit as t approaches pi of sin(3/4 t) is (sqrt(2))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

limit as t approaches pi of sin(3/4 t)

t \to π lim (sin (\frac{3}{4} t))

\frac{2}{2}

Decimal

0.70710 \dots

Solution steps

t \to π lim (sin (\frac{3}{4} t))

Plug in the value

t = π

= sin (\frac{3}{4} π)

Simplify

sin (\frac{3}{4} π) : \frac{2}{2}

= \frac{2}{2}

What is the limit as t approaches pi of sin(3/4 t) ?
The limit as t approaches pi of sin(3/4 t) is (sqrt(2))/2