What is the limit as x approaches 0 of x^4sin(3/x) ?

The limit as x approaches 0 of x^4sin(3/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(3/x)

x \to 0 lim (x^{4} sin (\frac{3}{x}))

0

Solution steps

x \to 0 lim (x^{4} sin (\frac{3}{x}))

Apply the Squeeze Theorem:

0

= 0

\frac{d}{d x} ((2 x^{3} + 5)^{4})

\int \frac{sin ( x )}{cos ^{2} ( x ) - 3 cos ( x )} d x

f (x) = x^{2} - x + 4, at x = 4

\int (8 t^{4} + 5 t^{3} - 6 t^{2} + 7 t - 9) d t

\frac{( s + 3 )}{( s ^{2} + s + 3 )}

What is the limit as x approaches 0 of x^4sin(3/x) ?
The limit as x approaches 0 of x^4sin(3/x) is 0