Make me an integral
Calculus
Level
3
\[\lim_{n\to\infty}\left(\frac{1}{a+n}+\frac{1}{2a+n}+\frac{1}{3a+n}+\ldots+\frac{1}{na+n}\right)\]
Find the "closed form result" of the limit above.
Here, \(a\gt 0\) is an arbitrary constant such that the expression inside the limit is defined.
by
Prasun Biswas