Is there a way to prove $$1+\frac{1}{2}+\frac {1}{3}+...+\frac{1}{n-1} = \ln(n)+c+o(n)$$ where c is a constant? Any idea will be appreciated, thanks!
Asked
Active
Viewed 68 times
1
-
Have you tried Taylor's Series? – Karn Watcharasupat Nov 29 '17 at 09:10
-
Use e.g. the Euler-MacLaurin formula: https://en.wikipedia.org/wiki/Euler%E2%80%93Maclaurin_formula (look also for Examples) – user90369 Nov 29 '17 at 11:26