Let S_n = _ k=1 ^ n n n^2+kn+k^2 T_n = _ k=0 ^ n-1 n n^2+kn+k^2 , for n = 1, 2, 3, . Then,

JEE Advanced 2008 Mathematics question

Let

= = ,

for . Then,

Answer: (A),(D)

Writing both sums as Riemann sums of the decreasing function on , the right-endpoint sum

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Question ID VK-000770