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Let f(x) = x(2-x) ,0 le x le2 . If the ...

Let `f(x) = x(2-x) ,0 le x le2 ` . If the definition of f is extended over the set `R- [0,2]` by f(x+2) = f(x) then f is a

A

periodic function of period 1

B

non periodic function

C

periodic function of period 2

D

periodic function of period `1/2`

Text Solution

Verified by Experts

The correct Answer is:
C
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