 # Find asymptotic upper bounds for the following recurrence: T(n)=T(...

## Question

Find asymptotic upper bounds for the following recurrence:
T(n)=T(n/2)+n(2-sin(pi*n)/2)

## Solution Preview

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T(n)=T(n/2)+n(2-sin(pi*n)/2)                                         (1)

Let n = 2^k (2 to the power k), from equation (1), we can get (2)
T(2^k) <= T (2^(k-1)) + 2^(k+1)                                                       (2)

Define S(k) = T(2^k)...

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