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A calculus problem by Shivam Jadhav

Calculus Level 4

If $\displaystyle\sum_{n=1}^{\infty}\frac{n^{5}}{5^{n}}=\frac{35M}{W^{3}}$ with $M$ and $W$ are coprime positive integers, then find $M-W$ .

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by Shivam Jadhav

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