I want to find the sum of the harmonic series where the n (as in SIGMA 1/n -- sorry for not using latex, the preview post button keeps displaying the wrong math symbols) cannot be a number that uses the digit 0.(adsbygoogle = window.adsbygoogle || []).push({});

I've thought about doing a direct comparison test, comparing the sum to something like SIGMA (1/n - 1/(10^n)). I plan to subtract only the powers of ten or other numbers involving zero (e.g., 10*n) from the harmonic series, and see if that sum converges. But I'm faced with two problems:

1. I can't seem to find the appropriate sum to subtract from the harmonic series

2. I don't know how to find the sum to which a series (other than a Taylor series) converges.

Can someone help? Thanks.

P.S. SIGMA really means sigma from n = 0 to infinity

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# Reciprocal Sum

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