What is the limit as x approaches 0 of x^3*sin(1/x) ?

The limit as x approaches 0 of x^3*sin(1/x) is 0

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limit as x approaches 0 of x^3*sin(1/x)

x \to 0 lim (x^{3} \cdot sin (\frac{1}{x}))

0

Solution steps

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

Apply the Squeeze Theorem:

0

= 0

x \to 0 lim ((1 - 2 x)^{\frac{5}{x}})

\int cot^{2} (θ) d θ

y^{^{'}} + \frac{y}{120} = 3

\int x^{4} (y - 2)

y = \frac{4 x ^{2} + 6 x + 8}{x}

What is the limit as x approaches 0 of x^3*sin(1/x) ?
The limit as x approaches 0 of x^3*sin(1/x) is 0