1.

For every integer n, let an and bn be real numbers. Let function f:→ be given byf(x)={an+sinπx,for x∈[2n,2n+1]bn+cosπx,for x∈(2n−1,2n)for all integers n. If f is continuous, then which of the following hold(s) for all n?

Answer»

For every integer n, let an and bn be real numbers. Let function f:→ be given by



f(x)={an+sinπx,for x∈[2n,2n+1]bn+cosπx,for x∈(2n−1,2n)



for all integers n. If f is continuous, then which of the following hold(s) for all n?


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