How do I show that [tex]\sum_1^n\frac{1}{k}[/tex] is not an integer for n>1? I tried bounding them between two integrals but that doesn't cut it. I know that [tex]\sum_1^n\frac{1}{k}=\frac{(n-1)!+n(n-2)!+n(n-1)(n-3)!+...+n!}{n!}[/tex] but I can't get a contradiction.(adsbygoogle = window.adsbygoogle || []).push({});

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Harmonic Sum

**Physics Forums | Science Articles, Homework Help, Discussion**