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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

98.0. "Continued Fraction" by HARE::STAN () Fri Jul 27 1984 04:27

D. H. Fowler asks the following interesting question in
the Mathematical Intelligencer. (problem 84-10):

The value of the continued fraction

     1     1
k + --- + --- + ...    or [k, 3k, 5k, ...]
    3k+   5k+

is known to be coth 1/k.  Determine the value of the
similar continued fraction [k, 2k, 3k, ...].
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