A calculus problem by Sahil Silare

Calculus Level 4

s=n=1(n2+2n+32n)\large s = \sum^\infty_{n=1}\left(\frac{n^2+2n+3}{2^n}\right)

Compute the value of 13+23+33++s31^3 + 2^3 + 3^3 + \cdots + s^3.

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