Just have an observation;
If you take the numbers they are taking, [1, 2, 3, 4], than 2S2 ==> 1 -2 + 1 + 3 - 2 - 4 + 3 - 4 This is exactly what they are saying in the video.
The result of this is not 1/4,as you can see but - 4
. BUT they are using infinity. Therefore, here is where I got confuse. Since they are moving aside the second serie (to get the 1 - 1 + 1 ... ), it also shift the last number no? Therefore the last number must be moved aside too.
Example: if you go until 10, then your serie will be -10. And so forth until infinity. If the serie will go until 1, then the result will be 11.
In consequence, the last number is either + or - infinity. S2 = + or - infinity.
Then, we know that S - S2 = 4SSo S = -S2/3
If S2 = + infinity then the result is negative and will not have any sense.
But if S2 = - infinity than S = + infinity
, which make a bit more sense!
Please tell me what to think about this, and if I am wrong, where did my logic is wrong!
Thanks for this video again!
Think outside the box