x Sin(1/x) is continuous at x=0 but not differentiable

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In this Video we will show that xsin(1/x) is continuous at x=0 but not differentiable at x=0.
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  1. Maths with Dr. J. P. Chaudhary
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lim_(x→0) (cosx) ( sin ( 1/x ))

What’s the answer ?
I mean limit does not exist

glaratalib