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If f(x+2a)=f(x-2a),then prove that f(x) ...

If `f(x+2a)=f(x-2a)`,then prove that f(x) is periodic `

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Verified by Experts

The correct Answer is:
4a
` f(x+2a)=f(x-2a)`
Replacing `x` by `x+2a`, we get
`f(x)=f(x+4a)`
Therefore, `f(x)` is periodic with period 4a.
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