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Conference rusure::math

Title:Mathematics at DEC
Moderator:RUSURE::EDP
Created:Mon Feb 03 1986
Last Modified:Fri Jun 06 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:2083
Total number of notes:14613

1056.0. "Find limit" by HPSTEK::XIA () Thu Apr 13 1989 18:42

    Find
    
                 (1/k)
    lim    (1/k!)
    k->oo       
                    
    Eugene
T.RTitleUserPersonal
Name
DateLines
1056.1AITG::DERAMODaniel V. {AITG,ZFC}:: D'EramoThu Apr 13 1989 18:503
     That's nothing.  Give us a harder problem.
     
     Dan
1056.2HPSTEK::XIAThu Apr 13 1989 19:225
    re -1
    
    Ok, try 1058 then :-).
    
    Eugene
1056.3The other problems look harderHIBOB::SIMMONSTristram Shandy as an equestrianThu Apr 13 1989 19:495
    Stirling's formula works here, just look at the limit of the log
    of the thing which is minus infinity when you substitute for the
    factorial so the answer is zero.
    
    Chuck
1056.4HPSTEK::XIAThu Apr 13 1989 22:0511
    re -1 
    
    Yep, that works, but there are simpler methods though.  The reason
    I posed it is because I like the neat trick.  The trick is as follow:
    
    take the log of that thing.  Then you get
    
    -(sum ln(k) /n) which is the minus of the average of ln(k) which goes
    to oo.  ==> the thing is 0.
    
    Eugene