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.
