(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

According to textbooks, the logarithmic p-series given by

[tex]\sum_{n=2}^n \frac{1}{n \ ln(n)^p } [\tex] and should converge when p>1 and diverge when [tex]p \leq 1 [\tex]

2. Relevant equations

Using MathCad (version 11 to 14), I find that the corresponding integral

[tex]int_{2}^{infty} \frac {1}{x \ {ln(x)}^p} dx [\tex] always converges. For instance, for p=0.6, I find that the integral becomes 49.916 (instead of diverging)

3. The attempt at a solution

I have never before encountered a problem with MathCad, so this discrepancy is really surprising. I'm just curious about reactions or observations of similar problems with MathCad.

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# Homework Help: Logarithmic p-series

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