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October 9th, 2012, 04:50 PM   #1
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Need help finishing up with solving a recurrence

I'm attempting to solve a recurrence in my algorithms course in which I'm required to use a previous technique that we used in class(analysis of Randomized Quicksort)

I am having a hard time grasping recurrences but I am slowly making some progress in understanding how to handle them.

for

multiplying by gives

subtracting previous (term?)

results in

which should simplify to

dividing by n^2/rearranging gives





This is where I got so far. I don't want to make any conclusions about the running time until I verify that I am on the right track. Any advice would be appreciated.
Thanks.
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October 10th, 2012, 05:48 AM   #2
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Re: Need help finishing up with solving a recurrence

I don't think what you have is right, since H_n ~ log n and so the limit of the sum is
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