# Calculus: Other Calculus Problems – #36

Question: Use the fact that $\sum\limits_{i=1}^{n}{i=\frac{n(n+1)}{2}}$ to evaluate the following: $\underset{n\to \infty }{\mathop{\lim }}\,\sum\limits_{i=1}^{n}{(\frac{4i}{n}+5})(\frac{4}{n})$.