### Home > CALC > Chapter 10 > Lesson 10.2.2 > Problem10-106

10-106.

Determine which integral is being approximated with the Riemann sum $\displaystyle\sum _ { k = 1 } ^ { n } \frac { 5 } { n } \sqrt { 4 + \frac { 5 k } { n } }$. Then, calculate the value of $\lim\limits_ { n \rightarrow \infty } \displaystyle\sum _ { k = 1 } ^ { n } \frac { 5 } { n } \sqrt { 4 + \frac { 5 k } { n } }$.

$a = 4$