Prove that limx- 0 xsin1x-0-

For x∈ℝ {0} , #160; 1≤sin1x≤ 1 or, #160; x≤ xsin1x≤ x This gives, #160; lim_x→ 0 xsin1x=0 . ...

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Question

Prove that $lim x \to 0 x sin \frac{1}{x} = 0$ .

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