Let Sn=k=0∑nn2+kn+k2n and Tn=k=0∑n−1n2+kn+k2n for n=1,2,3... then (a)Sn 3π3(c) Tn 3π3

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Let {S}_{{n}}={_{{{k}={0}}}^{{n}}}{{n}}{{{n}^{{2}}+{k}{n}+{k}^

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Let $S_{n} = k = 0 \sum n \frac{n}{n ^{2} + k n + k ^{2}}$ and $T_{n} = k = 0 \sum n - 1 \frac{n}{n ^{2} + k n + k ^{2}}$ for n=1,2,3... then (a) $S_{n} < \frac{π}{3} 3$ b) $S_{n} > \frac{π}{3} 3$ (c) $T_{n} < \frac{π}{3} 3$ (d) $T_{n} > \frac{π}{3} 3$

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Amelia Discussed

Let

S_{n} = k = 0 \sum n \frac{n}{n ^{2} + k n + k ^{2}}

and

T_{n} = k = 0 \sum n - 1 \frac{n}{n ^{2} + k n + k ^{2}}

for n=1,2,3... then (a)

S_{n} < \frac{π}{3} 3

S_{n} > \frac{π}{3} 3

(c)

T_{n} < \frac{π}{3} 3

(d)

T_{n} > \frac{π}{3} 3

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Question Text

Let

S_{n} = k = 0 \sum n \frac{n}{n ^{2} + k n + k ^{2}}

and

T_{n} = k = 0 \sum n - 1 \frac{n}{n ^{2} + k n + k ^{2}}

for n=1,2,3... then (a)

S_{n} < \frac{π}{3} 3

S_{n} > \frac{π}{3} 3

(c)

T_{n} < \frac{π}{3} 3

(d)

T_{n} > \frac{π}{3} 3