Find the sum of a series : 1 + 1/2 + 1/3 + 1/4 + 1/6 + 1/8 + 1/9 + 1/12 + ....

The series .... 1 + 1/2 + 1/3 + 1/4 + 1/6 + 1/8 + 1/9 + 1/12 + ....

Where the terms are the reciprocals of the positive integers whose only prime factors are 2's and 3's.

What is the sum of the series?

Solution Summary

The sum of a harmonic series is found.