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a) Find a function that is continuous on the interval (3,6), but not uniformly continuous on...

a) Find a function that is continuous on the interval (3,6), but not uniformly continuous on the interval (3,6) and prove it.  

b) Could a function be continuous on [3,6], but not uniformly continuous on [3,6]?  (You may give a one line justification for part b) using a theorem.)

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