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Home/ Questions/Q 6724425
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Editorial Team
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Editorial Team
Asked: May 26, 20262026-05-26T09:41:18+00:00 2026-05-26T09:41:18+00:00

I am trying to solve this recurrence T(n) = 3 T(n/2) + n lg

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I am trying to solve this recurrence

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 manual i noticed this solution that they have

enter image description here

The soluttion says that n lg n = O ( n ^(lg 3 – e)) for e between 0 and 0.58

so this means n lg n is O(n) .. is this right? Am i missing something here?

Isn’t nlgn O(n^2) ?

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  1. Editorial Team
    Editorial Team
    2026-05-26T09:41:19+00:00Added an answer on May 26, 2026 at 9:41 am

    This will explain things better
    enter image description here

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