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  1. #1
    resonance entropie's Avatar
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    Default Limes against eternity xD

    Ok, one for you. If you already know the solution, do not spoil it. If you have found it out by yourself, you can post it via this one:

    Optimath - Formeleditor f

    Just have to click on "Erzeugen"(Create) and then you can right click the formula, it is an image. You can get its URL via properties and post that as an image here.

    --------

    The question is, what is the solution to:



    Maybe an easy one, maybe not, Good luck tho !
    [URL]https://www.youtube.com/watch?v=tEBvftJUwDw&t=0s[/URL]

  2. #2
    The Destroyer Colors's Avatar
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    Default

    ? I don't see the formula anywhere on the page.??? Or am I looking for the answer?

  3. #3
    resonance entropie's Avatar
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    Default

    There may be problems with the image. I downloaded it and uploaded it on imagehost.

    Do you see it now ?
    [URL]https://www.youtube.com/watch?v=tEBvftJUwDw&t=0s[/URL]

  4. #4
    The Destroyer Colors's Avatar
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    Default

    lim [1 + 1/n]^n ?
    n-> oo

    (1?)

    This is cool. I used to have to type out math problems on Microsoft Word trying to find the symbols and line them up using different font sizes.

  5. #5
    resonance entropie's Avatar
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    Default

    That is a good start ! But 1 isn't the result. I give you a hint, try the sentence of L'Hospital.

    [URL]https://www.youtube.com/watch?v=tEBvftJUwDw&t=0s[/URL]

  6. #6
    resonance entropie's Avatar
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    Default

    ok then, I see I have more fun with this than anyone, I will solve it:

    [URL]https://www.youtube.com/watch?v=tEBvftJUwDw&t=0s[/URL]

  7. #7

    Default

    You and I would be great friends in real life entropie.

    Just to add onto the point...

    One can interpret what is happening is the limit of model for "growth" through compounding split over n periods.

    If n=2, (1.5)^2=2.25
    If n=3, (1.333...)^3= 2.370370...
    If n=4, (1.25)^4=2.44140625 (and change)
    .
    .
    .
    So you can interpret e as the result instantaneous compounding done by splitting the growth into infinitely small compoundings split over infinite number of times.

    Accept the past. Live for the present. Look forward to the future.
    Robot Fusion
    "As our island of knowledge grows, so does the shore of our ignorance." John Wheeler
    "[A] scientist looking at nonscientific problems is just as dumb as the next guy." Richard Feynman
    "[P]etabytes of [] data is not the same thing as understanding emergent mechanisms and structures." Jim Crutchfield

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