Let f(x)=cos(a(1)+x)+1/2cos(a(2)+x)+1/(2...

Let `f(x)=cos(a_(1)+x)+1/2cos(a_(2)+x)+1/(2^(2))cos(a_(3)+x)+…….+1/(2^(n-1))cos(a_(n)+x)` where `a_(1),a_(2),………a_(n)inR`. IF `f(x_(1))=f(x_(2))=0` then `|x_(2)-x_(1)|` may equal to

A

`pi`

B

`2 pi`

C

`3 pi`

D

`pi//2`

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The correct Answer is:

A, B, C

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