# 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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