then you'll find that S(n) ~ ln(n)-c where c is a constant.
You can graph these sorts of things at Wolfram Alpha, or even just type the expression into Google and often you'll get something useful. Here's an example:
Thanks, in my messing around with WA, I wasnt getting a chart using the limit function, but now i realized I wanted the summation. I havent done much graphing online.
TBH I was just curious how the graphs looked taking the positives and negatives independently.
The first expression, A1, is:
If you convert that into a function: then you'll find that S(n) ~ ln(n)-c where c is a constant.You can graph these sorts of things at Wolfram Alpha, or even just type the expression into Google and often you'll get something useful. Here's an example:
https://news.ycombinator.com/item?id=9393392