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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

`2pi`

C

`3pi`

D

`(pi)/2`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
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