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Infinitely Continued (Posted on 2009-09-10) Difficulty: 3 of 5
The infinite continued fraction: x + 1/(x+ 1/(x + 1/(x+ ....))) is denoted by C(x).

Determine all possible pair(s)(g, h) of positive integers that satisfy this equation:

  2            1
-----  -   ------ = 1
C(g)       C(h)

See The Solution Submitted by K Sengupta    
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  Subject Author Date
simpler solutionDaniel2009-09-10 16:06:22
computer aided analytic solutionDaniel2009-09-10 11:46:47
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