Why are the sum of squares afraid of one cube?

Calculus Level 2

\(\lim _{ n\rightarrow \infty }{ \frac { { 1 }^{ 2 }+2^{ 2 }+3^{ 2 }+...+n^{ 2 } }{ { n }^{ 3 } } } \) can be expressed in the form \(\frac { a }{ b } \). Find \(a+b\)

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