- #1
notknowing
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Homework Statement
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]
Homework 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)
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.