Thread: Problem 39
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Old October 31st, 2007, 02:20 AM
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Quote:
Originally Posted by ThePerfectHacker View Post
Let a,b\in \mathbb{Z}^+. For each positive integer n let H_n(a,b) = \frac{1}{a+b}+\frac{1}{2a+b}+...+\frac{1}{na+b}.
Find the limit,
\lim \ \frac{H_n(a,b)}{H_n(c,d)}

(Where c,d are possibly different integers defining a different sequence).
is this lim as n approaches infinity?
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