JEE MAIN - Mathematics Hindi (2025 - 4th April Evening Shift - No. 15)
अनंत श्रेणी $\cot ^{-1}\left(\frac{7}{4}\right)+\cot ^{-1}\left(\frac{19}{4}\right)+\cot ^{-1}\left(\frac{39}{4}\right)+\cot ^{-1}\left(\frac{67}{4}\right)+\ldots$. का योग है :
$\frac{\pi}{2}+\cot ^{-1}\left(\frac{1}{2}\right)$
$\frac{\pi}{2}-\cot ^{-1}\left(\frac{1}{2}\right)$
$\frac{\pi}{2}-\tan ^{-1}\left(\frac{1}{2}\right)$
$\frac{\pi}{2}+\tan ^{-1}\left(\frac{1}{2}\right)$
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