Question 9

Let
$$S_n = \sum_{k=1}^{n}\frac{n}{n^2 + kn + k^2}$$ and $$T_n = \sum_{k=0}^{n-1}\frac{n}{n^2 + kn + k^2}$$, for $$n = 1, 2, 3, ..., $$ Then,

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