The n-th harmonic is the sum of the reciprocals of the first in natural numbers given by: 1 1.1 + 1 +-24 n 17 11 –Σ =1+-+ 17 2 3 4 (i) Write a recursive algorithm of this function returning, H, with nε N. (ii) Give a recurrence relation for the number of divisions the recursive algorithm calculates for an input n & N. iii) Solve the recurrence relation and give the O(n) of the algorithm.

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