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Find sequences {An} and {Bn} of numbers in (0,1], so that both An and Bn converge to 0, and lim sin(1/An) = 1 and lim sin(1/Bn) = -1 as n goes to infinity.

Conclude from the previous part that lim sin(1/x) as x goes to 0 does not exist.

 

Reference no: EM13197394

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