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Going Geometric With The Limit (Posted on 2008-03-26) Difficulty: 1 of 5

Limit T(m)/m
m → ∞

where, T(m) is the geometric mean of m positive integers 1, 2, ..., m.

Bonus Problem

As a bonus, work out the following limit:

Limit U(m)/m
m → ∞

where, U(m) is the geometric mean of m positive integers 2m+1, 2m+2, ..., 3m.

See The Solution Submitted by K Sengupta    
Rating: 2.0000 (2 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: Gauss-D'AlemebertK Sengupta2008-04-06 12:32:26
re: not 100% rigorous solutionK Sengupta2008-04-06 12:29:28
SolutionGauss-D'AlemebertChesca Ciprian2008-03-27 03:17:52
Solutionnot 100% rigorous solutionPaul2008-03-27 02:56:37
Some ThoughtsMy thoughtsPraneeth2008-03-27 01:19:45
Possible Spreadsheet solutionKenny M2008-03-26 20:55:46
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