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September 10th, 2019, 01:05 AM   #1
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Inequality similiar to harmonic sum

For which values of n the inequality holds true :

$\displaystyle 1+\frac{1}{2}+\frac{1}{3}+...+\frac{1}{n^4 }=\sum_{j=1}^{n^4 }j^{-1} >2n$.
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September 10th, 2019, 01:58 PM   #2
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For large n the sum is ~ 4ln(n) < 2n.
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