Limit x sin(1/x) as x goes to infinity ll Limit of cos(1/x) as x tend to 0

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Limit x sin(1/x) as x goes to infinity ll Limit of cos(1/x) as x tend to 0. #xsin(1/x)_as_x_goes_to_infinity, #cos(1/x), #ssc_mathematics
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i dont understand how you brought up (Yn)

symbochegg-jonasgallant
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lim_(x→0) (cosx) ( sin ( 1/x ))

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

glaratalib