I basically need to know if the series Ʃ ((-1)^(i-1))/i can be represented in other ways (e.g. a Taylor series, but I doubt it). I know it converges to ln2, but I need to know if there's a series like x^2, x^4, ... or something like it that I can represent the series with.
Ʃ ((-1)^(i-1))/i for i=1 to q, where q is a finite, but very large number
The Attempt at a Solution
My calc textbook doesn't examine that series for anything besides its convergent nature, and I can't find any online resources for it. Any help would be appreciated.