What is the limit as x approaches 0-of x^4sin(1/x) ?

The limit as x approaches 0-of x^4sin(1/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^4sin(1/x)

x \to 0 - lim (x^{4} sin (\frac{1}{x}))

0

Solution steps

x \to 0 - lim (x^{4} sin (\frac{1}{x}))

Apply the Squeeze Theorem:

0

= 0

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

x \to - 1 - lim (\frac{- 5 - x}{2 x - 2})

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

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

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

What is the limit as x approaches 0-of x^4sin(1/x) ?
The limit as x approaches 0-of x^4sin(1/x) is 0