A calculus problem by Sutirtha Datta

Calculus Level 3

\[ \large \lim_{n\to\infty} \dfrac{ \sqrt1 + \sqrt2 + \cdots + \sqrt{n-1}}{n \sqrt n} = \frac ab \]

The equation above holds true for coprime positive integers \(a\) and \(b\). Find \(a+b\).

×

Problem Loading...

Note Loading...

Set Loading...