Can you spot the trick?
Calculus
Level
4
\[\large\mathfrak R=\displaystyle\sum_{x=1}^{\infty}\dfrac{x^5-9x}{x^8-3x^6+27x^2-81}\]
If \(\mathfrak R\) can be written in the form \(\dfrac pq\), where \(p\) and \(q\) are coprime positive integers, find \(|p-q|\).
by
Rishabh Cool