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Let f:RtoR be such that f(2x-1)=f(x) for...

Let `f:RtoR` be such that `f(2x-1)=f(x)` for all `x""inR`. If f is continuous at x=1 and f(1)=1, then

A

f(2)=1

B

f(2)=2

C

f is continuouns only at x=1

D

f is continuous at all points

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