Message Boards Message Boards

0
|
3439 Views
|
1 Reply
|
0 Total Likes
View groups...
Share
Share this post:
GROUPS:

Partial sums of harmonic series

Posted 10 years ago

https://www.wolframalpha.com/input/?i=sum+1%2Fj%2C+j%3D1+to+132159290357566703

How wolfram alpha calculates something like this? Brute force, or has some kind of formula?

POSTED BY: Ivan Miški?

An integral representation derived by Euler gives H_n = Integrate[(1-x^n)/(1-x),{x,0,1)]

The limit n -> infinity (H_n - log n) = gamma, the Euler-Mascheroni constant 0.5772...

POSTED BY: S M Blinder
Reply to this discussion
Community posts can be styled and formatted using the Markdown syntax.
Reply Preview
Attachments
Remove
or Discard

Group Abstract Group Abstract