>>11140466SO SO WRONG!!!
Even if we assume for a second that the sum actually converges to -1/12, how can you verify it?
For instance, if i give you a series 1+2+3+4+5…. and ask you to stop at 10.
What will you have?
[10(10+1)]/2 which equals 55. right?
so the formula is n(n+1)/2.
but if this is so…then at any countable point, according to this (and my special intuition) the sum should be always ALWAYS less than -1/12.
And this my friend…is never ever possible.
2 mathematical quantities n^2/2 and n/2 both greater than zero will just add up and give you a negative number???
NONSENSE!!!
>S3-S2 = 0+4+0+8+0+....This is the point from where everything went wrong. every single thing.
Lets analyse that part carefully.
The series 4+8+12+16… is of LENGTH EXACTLY EQUAL TO 1/4 OF THE SERIES 1+2+3+4+5….
Read that again. but slowly. yeah I indirectly said that an infinity is four times grater than another infinity.
If you are not able to digest this, read ahead. And if you did, congo!! you may skip the next part of this answer.
Since the length of S1=4+8+12+16… is 1/4 times S2=1+2+3+4+5…
The idea of take a factor 4 common is bullshit.
Why?
If we do so S_1 becomes 4(1+2+3+4+5…)
And here, 1+2+3+4+5…is NOT EQUAL TO S2.
So fuck you and your Ramanujan antics
