# Funcits level 5

Calculus Level 4

If the number of ordered pairs of integers $$a,b$$ belonging to the set (1,2,3,.....n) such that sum of $$a$$ and $$b$$ is $$k^{2}(k^{2}\le n)$$ is $$f(n)$$, then $$\displaystyle \lim_{n\to \infty}\frac{f(n)}{\sqrt{n^{3}}}$$ is

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