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September 10th, 2019, 01:05 AM  #1 
Senior Member Joined: Dec 2015 From: somewhere Posts: 642 Thanks: 91  Inequality similiar to harmonic sum
For which values of n the inequality holds true : $\displaystyle 1+\frac{1}{2}+\frac{1}{3}+...+\frac{1}{n^4 }=\sum_{j=1}^{n^4 }j^{1} >2n$. 
September 10th, 2019, 01:58 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,823 Thanks: 723 
For large n the sum is ~ 4ln(n) < 2n.


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harmonic, inequality, similiar, sum 
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