What is the limit as x approaches 0+of sqrt(x)sin(1/(5x)) ?

The limit as x approaches 0+of sqrt(x)sin(1/(5x)) 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 sqrt(x)sin(1/(5x))

x \to 0 + lim (x sin (\frac{1}{5 x}))

0

Solution steps

x \to 0 + lim (x sin (\frac{1}{5 x}))

Apply the Squeeze Theorem:

0

= 0

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

x \to 0 lim (\frac{1}{x + 1})

x \to 0 lim ((\frac{a ^{x} + b ^{x}}{2})^{\frac{1}{x}})

x \to 0 + lim (2 x ln (x))

What is the limit as x approaches 0+of sqrt(x)sin(1/(5x)) ?
The limit as x approaches 0+of sqrt(x)sin(1/(5x)) is 0