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  4. which one is smaller n pow 2, 1000 pow n, n pow n, n pow 1000 , when n value is nearer to infinite

which one is smaller n pow 2, 1000 pow n, n pow n, n pow 1000 , when n value is nearer to infinite

Scheduled Pinned Locked Moved Algorithms
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  • H huma satti

    hi! i have a question. that is we have ha a problem "which one is smaller n pow 2, 1000 pow n, n pow n, n pow 1000 , when n value is nearer to infinite" plz also give reason along with answer Best Regards, Huma Satti

    G Offline
    G Offline
    Giorgi Dalakishvili
    wrote on last edited by
    #2

    Exponential functions are larger then powers of a number when n is nearer infinity

    Giorgi Dalakishvili #region signature my articles #endregion

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    • H huma satti

      hi! i have a question. that is we have ha a problem "which one is smaller n pow 2, 1000 pow n, n pow n, n pow 1000 , when n value is nearer to infinite" plz also give reason along with answer Best Regards, Huma Satti

      7 Offline
      7 Offline
      73Zeppelin
      wrote on last edited by
      #3

      Try looking at the logarithms of these values and comparing them. You should easily see the answer.

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      • G Giorgi Dalakishvili

        Exponential functions are larger then powers of a number when n is nearer infinity

        Giorgi Dalakishvili #region signature my articles #endregion

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        73Zeppelin
        wrote on last edited by
        #4

        :confused: He's not comparing exponential functions.

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        • H huma satti

          hi! i have a question. that is we have ha a problem "which one is smaller n pow 2, 1000 pow n, n pow n, n pow 1000 , when n value is nearer to infinite" plz also give reason along with answer Best Regards, Huma Satti

          C Offline
          C Offline
          CPallini
          wrote on last edited by
          #5

          My guess is

          n pow 2

          your task is to proof it (by induction?) :)

          If the Lord God Almighty had consulted me before embarking upon the Creation, I would have recommended something simpler. -- Alfonso the Wise, 13th Century King of Castile.
          This is going on my arrogant assumptions. You may have a superb reason why I'm completely wrong. -- Iain Clarke

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          • G Giorgi Dalakishvili

            Exponential functions are larger then powers of a number when n is nearer infinity

            Giorgi Dalakishvili #region signature my articles #endregion

            H Offline
            H Offline
            huma satti
            wrote on last edited by
            #6

            THNX ALOT 4 UR HELP

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            • C CPallini

              My guess is

              n pow 2

              your task is to proof it (by induction?) :)

              If the Lord God Almighty had consulted me before embarking upon the Creation, I would have recommended something simpler. -- Alfonso the Wise, 13th Century King of Castile.
              This is going on my arrogant assumptions. You may have a superb reason why I'm completely wrong. -- Iain Clarke

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              H Offline
              huma satti
              wrote on last edited by
              #7

              SO NICE OV U THNX ALOT OV UR HELP

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              • 7 73Zeppelin

                Try looking at the logarithms of these values and comparing them. You should easily see the answer.

                H Offline
                H Offline
                huma satti
                wrote on last edited by
                #8

                THNX ALOT 4 UR HELP SO NICE OV U

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                • H huma satti

                  hi! i have a question. that is we have ha a problem "which one is smaller n pow 2, 1000 pow n, n pow n, n pow 1000 , when n value is nearer to infinite" plz also give reason along with answer Best Regards, Huma Satti

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                  D Offline
                  DavidNohejl
                  wrote on last edited by
                  #9

                  huma satti wrote:

                  when n value is nearer to infinite

                  Is n interger? real number? complex number? What interval are we talking about? Positive or negative infinity? I'd give it back to teacher and say that (s)he formulated the problem too vaguely :P


                  [My Blog]
                  "Visual studio desperately needs some performance improvements. It is sometimes almost as slow as eclipse." - Rüdiger Klaehn
                  "Real men use mspaint for writing code and notepad for designing graphics." - Anna-Jayne Metcalfe

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                  • H huma satti

                    hi! i have a question. that is we have ha a problem "which one is smaller n pow 2, 1000 pow n, n pow n, n pow 1000 , when n value is nearer to infinite" plz also give reason along with answer Best Regards, Huma Satti

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                    M Offline
                    Maximilien
                    wrote on last edited by
                    #10

                    huma satti wrote:

                    when n value is nearer to infinite

                    (just for the sake of argumentation, I'm pretty certain there are some mathematical proof of each ...) Does it really make a difference when n is near infinity ? the results will be infinity anyway.

                    Maximilien Lincourt Your Head A Splode - Strong Bad

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                    • M Maximilien

                      huma satti wrote:

                      when n value is nearer to infinite

                      (just for the sake of argumentation, I'm pretty certain there are some mathematical proof of each ...) Does it really make a difference when n is near infinity ? the results will be infinity anyway.

                      Maximilien Lincourt Your Head A Splode - Strong Bad

                      7 Offline
                      7 Offline
                      73Zeppelin
                      wrote on last edited by
                      #11

                      Maximilien wrote:

                      Does it really make a difference when n is near infinity ? the results will be infinity anyway.

                      I think the question is about the asymptotic properties of the various quantities. In a practical sense the exercise is useful for comparing orders of algorithms. Aside from that, if n is infinity then you can't compare them, no. "Close to infinity" just means "very large but not infinity".

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                      • 7 73Zeppelin

                        Try looking at the logarithms of these values and comparing them. You should easily see the answer.

                        J Offline
                        J Offline
                        Jorgen Sigvardsson
                        wrote on last edited by
                        #12

                        I assume you mean the derivatives? Once upon a time I learned about something that I recall as l'Hôpital's rule[^]. On the other hand, I have no clue what the hell the derivation of n log n is. :~ Do you think Ilidiot knows? :-D

                        -- Kein Mitleid Für Die Mehrheit

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