GATE | IT | 2008 | Algorithms | Recurrence | Question 42

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When n = 22k for some k ≥ 0, the recurrence relation
T(n) = √(2) T(n/2) + √n, T(1) = 1
evaluates to :

√(n) (log n + 1)

√(n) (log n )

√(n) log √(n)

n log √(n)

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