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Sequences and Series question

2008 · Shift 1 · Q36

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JEE Advanced
Mathematics
Sequences and Series
2008 · Shift 1 · Q36

Sequences and Series question

2008 · Shift 1 · Q36

JEE AdvancedMathematicsSequences and SeriesMultiple correct+4 / −2

Let

{S_n} = \sum\limits_{k = 1}^n {{n \over {{n^2} + kn + {k^2}}}}

and

{T_n} = \sum\limits_{k = 0}^{n - 1} {{n \over {{n^2} + kn + {k^2}}}}

for

n=1, 2, 3, ............

Then,

A
${S_n} \lt {\pi \over {3\sqrt 3 }}$
B
${S_n} \gt {\pi \over {3\sqrt 3 }}$
C
${T_n} \lt {\pi \over {3\sqrt 3 }}$
D
${T_n} \gt {\pi \over {3\sqrt 3 }}$

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