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Math Help - hard hard

  1. #1
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    hard hard

    thank you CaptainBlack
    help me how latex and prove
    \sqrt{1+2\sqrt{1+3\sqrt{1+4\sqrt{1+...}}}} = 3
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by perash View Post
    thank you CaptainBlack
    help me how latex and prove
    \sqrt{1+2\sqrt{1+3\sqrt{1+4\sqrt{1+...}}}} = 3
    we use [tex] [ /math] here
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  3. #3
    Bar0n janvdl's Avatar
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    Quote Originally Posted by perash View Post
    thank you CaptainBlack
    help me how latex and prove
    \sqrt{1+2\sqrt{1+3\sqrt{1+4\sqrt{1+...}}}} = 3
     \sqrt{1+2\sqrt{1+3\sqrt{1+4\sqrt{1+...}}}} = 3
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  4. #4
    Bar0n janvdl's Avatar
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    It never becomes 3.
    It only tends to become 3.
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  5. #5
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by perash View Post
    thank you CaptainBlack
    help me how latex and prove
    \sqrt{1+2\sqrt{1+3\sqrt{1+4\sqrt{1+...}}}} = 3
    Try this link

    it should give you some ideas. the proof isn't full, but maybe you can pick up the slack using induction or something to prove any claim you make
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  6. #6
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by Jhevon View Post
    Try this link

    it should give you some ideas. the proof isn't full, but maybe you can pick up the slack using induction or something to prove any claim you make
    That's a fascinating expansion.

    -Dan
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  7. #7
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by topsquark View Post
    That's a fascinating expansion.

    -Dan
    it is, isn't it?! It's so simple to understand, but i never would have thought about doing that in a million years
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  8. #8
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    Quote Originally Posted by topsquark
    That's a fascinating expansion.
    Quote Originally Posted by Jhevon View Post
    it is, isn't it?! It's so simple to understand, but i never would have thought about doing that in a million years
    The poster on the other site who solved this problem claims it belongs to Ramanajuan.

    If you never read anything of Ramanajuan, be prepared! Ramanajuan does this type of stuff of the all time. He realizes the most crazy manipulations.
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