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******** *************************************************************** ******************************************************************** 10) a function f:
******** *************************************************************** ******************************************************************** 10) A function f: R R is said to be periodic if there exists p>0 such that f(z+p) = f(«), for all z E R. If f is a continuous periodic function on R, then [Question ID = 24543] f is unbounded Option ID = 38173] 1. 2is unbounded a f is not uniformly continuous (option ID = 38172] 4is uniformly continuous and bounded on l [Option ID = 38170] [Option ID = 38171]
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Anonymous User Best Answer
Since, f(x) is periodic and continuous it can never achieve infinity also it must be bounded for all values of x. Hence it's range can never be equal to it's co-domain R. So A continuous periodic function is always bounded f(x)=sinx 4