Friday, 1 May 2015

Uniform Continuity of the given function

I would like to check whether xsin(x) is uniformly continuous in its domain.




My attempt at question :



Since the given function is continuous everywhere therefore if the domain would have been bounded then the function would have been surely uniformly continuous , however since we are checking the uniform continuity in its whole domain therefore how should I approach the question ? Any help would be appreciated .

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