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|    sci.math.symbolic    |    Symbolic algebra discussion    |    10,432 messages    |
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|    Message 9,912 of 10,432    |
|    j4n bur53 to bursejan@gmail.com    |
|    Re: lim n->oo problem solvable by CAS on    |
|    22 Jun 18 19:37:37    |
      From: janburse@fastmail.fm              For a numerical exploration, I don't know whether       a Richard Fateman approach with BigFloat works.       I didn't try yet some BigFloat.              For some numerical exploration I did bignum       numerator and denumerator, and then computed       a simple float. But there was a surprise:              The fast Prolog system (faster in 9^(9^9)), gave       me the following result:               f(140)=0.6395241669738542        f(141)=0.6394713374128419        f(142)=0.6394192564631295        ERROR: Arithmetic: evaluation error: `float_overflow'              The slower Prolog system (slower in 9^(9^9)), didn't       stumble, gave me the following result:               f(140)=0.639524166973854        f(141)=0.639471337412842        f(142)=0.639419256463129        f(143)=0.639367908324447        f(144)=0.639317277638064        Etc..              Ha Ha              bursejan@gmail.com schrieb:       > Can a modern CAS solve this limit. I tried       > with Wolfram Alpha but with no avail:       >       > n^1 + n^2 + ... + n^(n-1) + n^n       > lim n->oo ------------------------------- = ?       > 1^n + 2^n + ... + (n-1)^n + n^n       >       > Also can a CAS quickly draw an accurate       > graph of the function f(n), lets say with       >       > for n=0..1000?       >              --- SoupGate-Win32 v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)    |
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