Complication in summation How do I deal with this summation?
$$\sum_{j=n}^{2n-1} \frac{1}{n+j}$$
Do I just substitute all j's with n? That seems to be too easy.
*edit: This is a part of a larger problem, which is to find the limit of the summation as n tends to infinity.

Hint #1:  In general, simplifying the sum of unit fractions is not easy.
Hint #2:  Evaluating a sum given a summation notation is easy if you know the index of summation, the lower and upper limits for the index, and the general formula for the summands.
