What is the limit as x approaches+0 of xsin(3/x) ?

The limit as x approaches+0 of xsin(3/x) is 0

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limit as x approaches+0 of xsin(3/x)

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

0

Solution steps

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

Apply the Squeeze Theorem:

0

= 0

\frac{d}{d x} (\frac{3 - \frac{1}{x}}{x + 5})

\int x^{2} - 2 x + 1 d x

\frac{d}{d x} (x \cdot e^{x^{2}})

\int \frac{cot ( x )}{sin ( x )} d x

csc (e^{2 x})

What is the limit as x approaches+0 of xsin(3/x) ?
The limit as x approaches+0 of xsin(3/x) is 0