Find the sum of a series : 1 + 1/2 + 1/3 + 1/4 + 1/6 + 1/8 + 1/9 + 1/12 + ....
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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?
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Solution Summary
The sum of a harmonic series is found in the solution.
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Let S= 1 + 1/2 + 1/3 + 1/4 + 1/6 + 1/8 + 1/9 + 1/12 + ....
Let r = 1 + 1/2 + 1/3 + 1/4 + 1/5 + 1/6 ...
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