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Best wishes for a fulfilling and successful futureQuestion of The Day

Question:

For every integer n, let a_{n }and b_{n }be real numbers.Let function f:IR `->`

IR be given by:

f(x) = `{a_(n)+sinpix, for x [2n,2n+1]`

`b_(n)+cospix for xin(2n-1,2n)}`

for all n. If f is continuous, then which of the following holds for all n?

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

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

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