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Sequences and Series · 2021 · Shift 1

1 Mathematics questions from this JEE Advanced paper

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JEE Advanced
Papers
2021 · Shift 1
Mathematics
Sequences and Series

Sequences and Series · 2021 · Shift 1

1 Mathematics questions from this JEE Advanced paper

Q34.For any positive integer n, let Sn : (0, $\infty$ ) $\to$ R be defined by $S_{n} (x) = \sum o l imi t s_{k = 1}^{n} cot^{- 1} (\frac{1 + k ( k + 1 ) x ^{2}}{x})$ , where for any x $\in$ R, $cot^{- 1} (x) \in (0, π)$ and $tan^{- 1} (x) \in (- \frac{π}{2}, \frac{π}{2})$ …
Mathematics · Sequences and Series · Multiple correct