Discuss about periodic function
Response to the following problem:
1. A function f: R→R is said to be periodic if there is a number p>0 such that f(x+p)=f(x) for all x € R . Show that a continuous periodic function on R is bounded and uniformly continuous.
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Let f(x), g(x) be functions defined on a closed bounded interval [a, b] such that the following conditions hold: g is differentiable on [a, b].
A function f: R?R is said to be periodic if there is a number p>0 such that f(x+p)=f(x) for all x € R .
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