Question

Write the limit as n goes to infinity of the summation from k equals 1 of the product of the 3rd power of the quantity 2 plus 5 times k over n and 5 over n as a definite integral.

Answer 1

\[\lim_{n \rightarrow 8} \sum_{k=1}^{n}(2+k(5/n)^3 5/n\]