What is the limit as x approaches 0 of x*sin(pi/x) ?

The limit as x approaches 0 of x*sin(pi/x) is 0

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 x*sin(pi/x)

x \to 0 lim (x \cdot sin (\frac{π}{x}))

0

Solution steps

x \to 0 lim (x sin (\frac{π}{x}))

Apply the Squeeze Theorem:

0

= 0

m = \frac{9}{5 + h} - \frac{9}{5}

n = 1 \sum \infty e^{- n} + 1

\frac{d}{d x} (1 + \frac{1}{4 x})

\frac{1}{10} e^{4 t} + \frac{9}{10} e^{- 6 t}

f (x) = 2 x^{2} - 16 x + 35

What is the limit as x approaches 0 of x*sin(pi/x) ?
The limit as x approaches 0 of x*sin(pi/x) is 0