Limit Integral UConn Intermediate
2017

Problem - 4558

For $n=1, 2,\dots$, let $x_n=\displaystyle\sum_{k=n+1}^{9n}\frac{k}{9n^2 + k^2}$. Find the value of $\displaystyle\lim_{n\to\infty}x_n$.

The solution for this problem is available for $0.99. You can also purchase a pass for all available solutions for$99.