Ignorant Scientist – 2

My friend shared a link in facebook, which is a proof to the statement that the summation of natural numbers is -1/12. http://www.youtube.com/watch?v=w-I6XTVZXww is the link explaining the proof. It is weird and counter intuitive. For those who does not want to spent 8 minutes watching the video, the proof is the following. If you have watched the video you can skip the proof (I have made a slight modification in summing up Grandi’s series, though.)

From Necker cubicle

This is madness.. More such tweaks and you will end up showing 1 = 2.  A silly attempt in that direction is the next derivation.

If S = -1/12

From Necker cubicle

PS1: Correct me!

PS2: On a different note, did you know that 0.99999…. = 1 ?

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2 Responses to Ignorant Scientist – 2

  1. Njan says:

    1. Nothing to correct. In the new world order, 9 is the new 12.

    Anyway, when I was sent that video, I responded with this:
    Sum of first n integers, is 1/2 * n * (n + 1). What the/you’re looking for is the limit of it as n -> infinity. That is:
    http://www.wolframalpha.com/input/?i=lim+n-%3Einfinity+1%2F2+n+%281%2Bn%29

    2. Yes, I did. (that’s a cute little proof though).

  2. Vivek says:

    :)

    so, 9 = 12 = infinity ..

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