Calculus problem by Sutirtha Datta

Calculus Level pending

\[\large \lim_{n \to \infty}\frac{1}{n} \sum_{k=0}^{n-1}\cos \left(\frac{k\pi}{2n} \right) = \frac a{b\pi} \]

\(a\) and \(b\) are coprime positive integers satisfying the equation above. Find \(a+b \).

Notation: \(\lfloor \cdot \rfloor\) denotes the floor function.

×

Problem Loading...

Note Loading...

Set Loading...