- #1

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**please prove this (periodic function)**

## Homework Statement

if f is periodic continuous function with period 1 then show there exists x such that f(x+pi)=f(x)

## Homework Equations

## The Attempt at a Solution

i am trying in this way,considering interval [pi,pi+1],and taking g(x)=f(x+pi)-f(x).and trying to use intermediate value theorem...but stuck on that