It's kinda weird summation
Calculus
Level
5
\[\large \sum_{k=1}^{\infty} \dfrac{(-1)^{k+1} \sin(k)}{k^3}\]
If the above sum can be represented as \(\dfrac{\pi^a - b}{c}\) for positive integers \(a\), \(b\) and \(c\), find the value of \(a+b+c\).
Clarification: Angles are measured in radians.
by
Surya Prakash