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Let Sn=sum(k=0)^n n/(n^2+kn+k^2) and Tn=...

Let `S_n=sum_(k=0)^n n/(n^2+kn+k^2)` and `T_n=sum_(k=0)^(n-1) n/(n^2+kn+k^2)` for n=1,2,3... then (a)`S_n lt pi/3sqrt(3)` b) `S_n gt pi/3sqrt(3)`(c) `T_n lt pi/3sqrt(3)` (d) `T_n gt pi/3sqrt(3)`

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