You don't need an exact, or even close, solution. n is an integer, and a small one at that. You can easily check that by n=8, we already have n > 8 log n [assuming log is base 10]. But it's close
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n log n is O (n)? T (n) = 3 T (n/2) + n lg n .. I have come to the solution that it belongs to masters theorem case 2 since n lg n is O (n^2) but after referring to the solution
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