Investigating the Nature of the Natural Logarithmic Function by Means of Comparison with the Integra

by Adnan Shakoor

Submitted : Spring 2014

We investigated the behavior of the deviations (the area between the curves of and for n = 2 and 3, from 1 to a where a > 0). The areas defined by these deviations were calculated analytically and graphed against the upper limit of integration a to show the behavior of the powers of the reciprocal functions to the behavior of the natural logarithmic function. The deviations increased with the increasing powers.

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