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Limiting Mean part 3 (Posted on 2010-03-14) Difficulty: 4 of 5

Limit Pn(m)/m
m → ∞

where, Pn(m) denotes the nthpower mean of the m positive integers m+1, m+2, ....., 2m.

Next, evaluate this limit:

Limit Ln(m)/m
m → ∞

where, Ln(m) denotes the nth Lehmer mean of the m positive integers m+1, m+2, ....., 2m.

Note: both answers will be formulas in terms of n.

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  Subject Author Date
Soution (non-rigorous?)Kenny M2010-03-14 23:10:37
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