Help finding the limit of a sum Hi I'm trying to find the following limit:
$$\lim_{n \rightarrow \infty} \frac{1}{n}  \sum_{j=1}^{ n } (1 - e^{\frac{-jt}{n}} )$$
expressed as a function of t. You may even be able to get it from Mathematica I don't have access to a copy at the moment.
Attempts made: tried to justify using L'hopital's rule, attempted to convert to integral. 

Have you heard of Riemann Sum? The sum tending to infinity is normally converted to integral in the following way.
$\lim_{n \to \infty} \dfrac{b-a}{n}\sum_{k=1}^n f(x_i)= \int_a^bf(x)dx$
You have $(b-a)=1$, what is $f(x_i)$?
