Just limiting sums

Calculus Level 5

\[\lim_{n \to \infty} \frac{1 \displaystyle \sum_{1}^{n} r + 2 \displaystyle \sum_{1}^{n-1} r + 3 \displaystyle \sum_{1}^{n-2} r +\cdots + n \cdot 1}{n^{4}} \]

Find the reciprocal of the limit above.

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