Mathematics · 2025
JEE Main · 4 April 2025, Shift 2 · Q13
The sum of the infinite series cot^-1(7/4)+ cot^-1(19/4)+ cot^-1(39/4)+ cot^-1(67/4)+…. is:
The sum of the infinite series $\displaystyle \cot ^{-1}\left(\frac{7}{4}\right)+\cot ^{-1}\left(\frac{19}{4}\right)+\cot ^{-1}\left(\frac{39}{4}\right)+\cot ^{-1}\left(\frac{67}{4}\right)+\ldots$. is :
Official answer
From NTA’s final answer key for this paper.
(3)
$\displaystyle \frac{\pi}{2}-\tan ^{-1}\left(\frac{1}{2}\right)$
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.