Chapter 4.3, Problem 67E

Evaluate the limit by first recognizing the sum as a Riemann sum for a function defined on [0, 1].

$\underset{n\to \infty }{\lim }{\displaystyle \underset{i=1}{\overset{n}{\sum }}\left(\frac{i^4}{n^5}+\frac{i}{n^2}\right)}$