Cross your limits once more

Calculus Level 3

\[ \large \lim_{x\to\infty} \dfrac{\displaystyle \sum_{n=1}^x n^2 (x-n-1) }{\displaystyle \sum_{n=1}^x n^3 } \]

If the limit above is equal to \( \dfrac ab\), where \(a\) and \(b\) are coprime positive integers, find \(2a+3b\).

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