Is there a formula for calculating such a sequence of numbers: 1/1 + 1/2 + 1/3 + 1/4 + 1/5 + ... 1/x? I know that the sum of the Harmonic series is equal to infinity, but is there a formula for calculating a collection of numbers to a certain number, for example, to 1/49?
Asked
Active
Viewed 39 times
0
-
1No simple closed formula is known. there are some good estimates, which you can read about, e.g., here – lulu Feb 11 '19 at 17:18
-
https://www.wolframalpha.com/input/?i=49th+harmonic+number – Feb 11 '19 at 17:24
-
1$\lim {n\to \infty }\left(H{n}-\ln n\right)=$ Euler-Mascheroni constant $\gamma \approx 0.5772156649$ – J. W. Tanner Feb 11 '19 at 17:30