What is the limit as x approaches 0 of x^4sin(2/x) ?

The limit as x approaches 0 of x^4sin(2/x) is 0

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limit as x approaches 0 of x^4sin(2/x)

x \to 0 lim (x^{4} sin (\frac{2}{x}))

0

Solution steps

x \to 0 lim (x^{4} sin (\frac{2}{x}))

Apply the Squeeze Theorem:

0

= 0

g (u) = 7 u + 13 u

\frac{\partial}{\partial x} (x e^{3 x y})

\int \frac{cos ( 2 x )}{x} d x

\int 8 cos (θ) cos^{5} (sin (θ)) d θ

\frac{d}{d θ} (16 sin (θ))

What is the limit as x approaches 0 of x^4sin(2/x) ?
The limit as x approaches 0 of x^4sin(2/x) is 0