What is the limit as x approaches 0 of xsin(5/x) ?

The limit as x approaches 0 of xsin(5/x) is 0

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limit as x approaches 0 of xsin(5/x)

x \to 0 lim (x sin (\frac{5}{x}))

0

Solution steps

x \to 0 lim (x sin (\frac{5}{x}))

Apply the Squeeze Theorem:

0

= 0

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What is the limit as x approaches 0 of xsin(5/x) ?
The limit as x approaches 0 of xsin(5/x) is 0