Question: 1) Prove that the function T (n) = n^2 is in ((n + 1)^2) 2) The recurrence relation for mergesort is given by T (n)

1) Prove that the function T (n) = n^2 is in ((n + 1)^2)

2) The recurrence relation for mergesort is given by T (n) = 2T (n/2) + an, T(1)=b where n=2k for some k0 and a and b are constants. Find a solution for this recurrence relation and a tight big-oh upper bound.

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