Example 25: Natural Logarithm Series

Problem

The natural logarithm can be approximated by the following series.

$\frac{x-1}{x} + \frac{1}{2}(\frac{x-1}{x})^{2}+ \frac{1}{3}(\frac{x-1}{x})^{3}+\frac{1}{4}(\frac{x-1}{x})^{4}+....$

If x is an input to a function, write a program to calculate the sum of this series’s first seven terms.

Example

Input	Output
3	1.086367
2	0.692262
0	-1
-10	-1

Try it yourself

Try to solve this question on your own in the code widget below. If you get stuck, you can always refer to the solution provided.