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Q. For every integer n, let an and bn be...

Q. For every integer n, let an and bn be real numbers. Let function `f:R->R` be given by a `f(x)={a_n+sin pix, for x in [2n,2n+1]`, `bb_n+cos pix, for x in (2n+1,2n)` for all integers n.

A

`a_(n)-b_(n+1) = -1`

B

`a_(n-1)-b_(n-1) = 0`

C

`a_(n) - b_(n) = 1`

D

`a_(n-1) - b_(n) = -1`

Text Solution

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The correct Answer is:
B
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