Limit + Summation = Integration

Calculus Level 5

\[\large \lim_{n\rightarrow\infty}\sum_{k=1}^{n}\frac{n^2}{n^3+k^3} = \frac{\sqrt{a}\pi+\ln{b}}{c}\]

If \(a\), \(b\) and \(c\) are positive integers and \(a\) is square-free, find \(a+b+c\).

×

Problem Loading...

Note Loading...

Set Loading...