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Limiting Mean (Posted on 2010-03-07) Difficulty: 2 of 5
Evaluate:

Limit H(m)/m
m → ∞

where, H(m) denotes the harmonic mean of the m positive integers m+1, m+2, ....., 2m.

As a bonus, evaluate this limit:

Limit R(m)/m
m → ∞

where, R(m) denotes the root mean square (RMS) of the m positive integers m+1, m+2, ....., 2m.

No Solution Yet Submitted by K Sengupta    
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Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionSolutionJer2010-03-08 15:21:12
Some ThoughtsSimilar approach - bonus - Solution?Kenny M2010-03-07 22:43:33
Some ThoughtsPartial (hon-rigorous) solution? (ho bonus)Kenny M2010-03-07 22:30:59
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