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 $|p-q|$ .

None of the other options 11 2 5 9 0 7 The sum diverges