If S is the sum of the first 10 terms of the series ^ -1 ( 1 3 )+ ^ -1 ( 1 7 )+ ^ -1 ( 1…
Mathematics · JEE Main · NTA Exams — Progression and Series
If S is the sum of the first 10 terms of the series
\(\tan ^{-1}\left(\frac{1}{3}\right)+\tan ^{-1}\left(\frac{1}{7}\right)+\tan ^{-1}\left(\frac{1}{13}\right)+\tan ^{-1}\left(\frac{1}{21}\right)+\ldots,\)
then tan(S) is equal to
\(\tan ^{-1}\left(\frac{1}{3}\right)+\tan ^{-1}\left(\frac{1}{7}\right)+\tan ^{-1}\left(\frac{1}{13}\right)+\tan ^{-1}\left(\frac{1}{21}\right)+\ldots,\)
then tan(S) is equal to
Answer
(A)
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