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

\int sin^{2} (o) d o

\frac{( s + 3 ) ^{2}}{s ( s ^{2} + 10 )}

\int 1 x^{2} d x

\frac{d}{d x} (15 x^{2})

\int \frac{( x - 1 ) ^{2}}{x} d 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