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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