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  • Originally posted by shunyadragon View Post
    Follow the lead of sylas.
    Let Sylas do his own work. I quite agree he's got the best handle on it - but what did you really just contribute other than snideness?

    Okay, I'm going back to the peanut gallery.
    "He is no fool who gives what he cannot keep to gain that which he cannot lose." - Jim Elliot

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    • Originally posted by Zymologist View Post
      FWIW, it annoyed me too and so I googled a proof of it. This one seemed to be the simplest:

      1/9 = 0.111...
      9 * 1/9 = 9 * 0.111...
      Therefore, 1 = 0.999...


      Thanks.

      We need a smile with a pencil behind it's ear and a stack of math books in front...
      "He is no fool who gives what he cannot keep to gain that which he cannot lose." - Jim Elliot

      "Forgiveness is the way of love." Gary Chapman

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      • Originally posted by Teallaura View Post
        I doubt I have the patience to read through a proof that they are truly equal
        Do you, perhaps, have the patience to watch a really entertaining 10 minute video on the subject?

        "[Mathematics] is the revealer of every genuine truth, for it knows every hidden secret, and bears the key to every subtlety of letters; whoever, then, has the effrontery to pursue physics while neglecting mathematics should know from the start he will never make his entry through the portals of wisdom."
        --Thomas Bradwardine, De Continuo (c. 1325)

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        • Originally posted by Boxing Pythagoras View Post
          Do you, perhaps, have the patience to watch a really entertaining 10 minute video on the subject?

          Right now, I'm irritated. I won't watch it now - but I will tomorrow when I can give it a fair reading.

          Zym's proof looks funky to me - and that's purely because I'm annoyed. When I calm down, it'll probably make sense. Math and answering letters are two things I don't do when irritable.

          Thank you - I will look at it tomorrow and I do appreciate the help.
          "He is no fool who gives what he cannot keep to gain that which he cannot lose." - Jim Elliot

          "Forgiveness is the way of love." Gary Chapman

          My Personal Blog

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          • Originally posted by Zymologist View Post
            FWIW, it annoyed me too and so I googled a proof of it. This one seemed to be the simplest:

            1/9 = 0.111...
            9 * 1/9 = 9 * 0.111...
            Therefore, 1 = 0.999...
            That's just further confirmation of my suspicions that mathematics is a branch of black magic.

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            • Originally posted by Teallaura View Post
              FYI: My apologies to Bible - didn't mean to derail your thread on a meaningless side note.
              I did.

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              • Originally posted by lao tzu View Post
                I did.

                Jerk
                "He is no fool who gives what he cannot keep to gain that which he cannot lose." - Jim Elliot

                "Forgiveness is the way of love." Gary Chapman

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                • Originally posted by Leonhard View Post
                  If you're dealing with the real numbers, then '1 = 0.999...', without any ambiguity, not merely for practical purposes.
                  Originally posted by Leonhard View Post
                  You can't divide by zero
                  If the concept of limit can be used to extend addition to infinite sums, why can't it extend division to dividing by zero?

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                  • Originally posted by Paprika View Post
                    If the concept of limit can be used to extend addition to infinite sums, why can't it extend division to dividing by zero?
                    Because the limit of any finite number divided by n as n approaches zero does not converge.
                    "[Mathematics] is the revealer of every genuine truth, for it knows every hidden secret, and bears the key to every subtlety of letters; whoever, then, has the effrontery to pursue physics while neglecting mathematics should know from the start he will never make his entry through the portals of wisdom."
                    --Thomas Bradwardine, De Continuo (c. 1325)

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                    • Originally posted by Boxing Pythagoras View Post
                      Because the limit of any finite number divided by n as n approaches zero does not converge.
                      Explain what you mean. x -> 0. 1/x -> infinite.
                      . . . the gospel of Christ: for it is the power of God unto salvation to every one that believeth; . . . -- Romans 1:16 KJV

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                      • Originally posted by Boxing Pythagoras View Post
                        Because the limit of any finite number divided by n as n approaches zero does not converge.
                        Not all infinite sums converge either.

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                        • Originally posted by 37818 View Post
                          Explain what you mean. x -> 0. 1/x -> infinite.
                          Originally posted by Paprika View Post
                          Not all infinite sums converge either.
                          Yes, a limit converges when it approaches a single Real number value. Infinities are not Real numbers, they are Hyperreals. Therefore, limits which approach infinities are divergent limits, and do not provide conclusive results by this method.
                          "[Mathematics] is the revealer of every genuine truth, for it knows every hidden secret, and bears the key to every subtlety of letters; whoever, then, has the effrontery to pursue physics while neglecting mathematics should know from the start he will never make his entry through the portals of wisdom."
                          --Thomas Bradwardine, De Continuo (c. 1325)

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                          • Originally posted by Boxing Pythagoras View Post
                            Yes, a limit converges when it approaches a single Real number value. Infinities are not Real numbers, they are Hyperreals. Therefore, limits which approach infinities are divergent limits, and do not provide conclusive results by this method.
                            If the concept of limit can be used to extend addition to infinite sums (to yield divergent limits in some cases), why can't it extend division to dividing by zero (to yield a divergent limit)?

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                            • Nitpick:
                              Originally posted by Boxing Pythagoras View Post
                              Yes, a limit converges when it approaches a single Real number value.
                              Or a single complex value, quantity, matrix, etc.

                              Roy
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                              seer: I believe that so called 'compassion' [for starving Palestinian kids] maybe a cover for anti Semitism, ...

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                              • Also the limit for 1/x as x goes towards zero depends on how you're approaching zero. If you're approaching along the real line, its either plus or minus infinity, depending on whether you approach from the positive or negative side.

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