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

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

x \to 0 lim (x^{4} sin (\frac{π}{x}))

0

Solution steps

x \to 0 lim (x^{4} sin (\frac{π}{x}))

Apply the Squeeze Theorem:

0

= 0

x \to \infty lim (xxx)

x \to 2 - lim (ln (x))

x \to 4 lim (\frac{( 3 x ^{2} - 8 x - 16 )}{2 x ^{2} - 9 x + 4})

x \to 0 lim ((1 + \frac{2}{x ^{3}})^{x})

x \to \frac{π}{2} + lim (\frac{x}{cot ( x )})

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