The value of \( \cot \left(\sum_{n=1}^{19} \cot ^{-1}\left(1+\sum_{...

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The value of \( \cot \left(\sum_{n=1}^{19} \cot ^{-1}\left(1+\sum_{p=1}^{n} 2 p\right)\right) \) is
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(a) \( \frac{23}{22} \)
(b) \( \frac{21}{19} \)
(2019 Main, 10 Jan II)
VV
(c) \( \frac{19}{21} \)
(d) \( \frac{22}{23} \)
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