So pic related gives me the formula. I need to know if this is accurate and what the symbols in it mean. Can it be used as a power sum formula?
>>8202969
It's saying that the sum of 1/k from 1 to n is roughly ln(n) to zeroth order.
>>8202974
zeroth order?
>>8202979
n^0.
O(1).
A constant term.
>>8202979
That's the error estimation, I mean.
>>8202987
Just whipped this up in matlab for you. Here's the error for the first 1000 values of n.
>>8202985
in what retarded field is this notation used
>>8203021
Computer science
in my notes, I show
[math]\displaystyle \sum_{n=1}^{m} \frac{1}{n} \approx \ln \frac{2n+1}{3}+1[/math]
What the fuck is wrong with you people
https://en.wikipedia.org/wiki/Euler%E2%80%93Mascheroni_constant
\displaystyle \sum_{n=1}^{m} \frac{1}{n} \approx \ln \frac{2m+1}{3}+1
[math]\displaystyle \sum_{n=1}^{m} \frac{1}{n} \approx \ln \frac{2m+1}{3}+1[/math]
>>8203266
this is useless unless you describe its precision. the fact they tend towards each other is trivially just op
>>8203035
>O(1) = C
lmao
>>8202969
it means that you are unable to read your textbook
[math]3x + 2y = 8[/math
[math]3x + 2y = 8[/math]
>>8204569
Holy Monkey Balls!
>>8202969
the o(1) is actually +-1 in this case