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C Programming for Experienced Engineers

Example 25: Natural Logarithm Series

Explore how to implement a C program that computes the natural logarithm approximation by summing the first seven terms of its series. Understand input validation for log domain limits and practice loop control to accumulate the sum effectively in this lesson focused on loops and series computations.

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Problem

The natural logarithm can be approximated by the following series.

x−1x+12(x−1x)2+13(x−1x)3+14(x−1x)4+....\frac{x-1}{x} + \frac{1}{2}(\frac{x-1}{x})^{2}+ \frac{1}{3}(\frac{x-1}{x})^{3}+\frac{1}{4}(\frac{x-1}{x})^{4}+....
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