Refine the mathematical model to better explain the experimental results in the table given in the text. Specifically, show that the average number of compares for a successful search in a tree built from random keys approaches the limit 2 ln N  2  – 3  1.39 lg N – 1.85 as N increases, where     .57721... is Euler’s constant. Hint : Referring to the quicksort analysis in Section 2.3, use the fact that the integral of 1/x approaches ln N   .

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