JEE Main 2025 (4 April Evening Shift)

Question

The sum of the infinite series $\cot^{-1}\left(\dfrac{7}{4}\right)+\cot^{-1}\left(\dfrac{19}{4}\right)+\cot^{-1}\left(\dfrac{30}{4}\right)+\cot^{-1}\left(\dfrac{67}{4}\right)+\cdots$ is:

Accepted Answer

$\dfrac{\pi}{2}-	an^{-1}\left(\dfrac{1}{2}ight)$

Answer

$\dfrac{\pi}{2}+\cot^{-1}\left(\dfrac{1}{2}\right)$

Answer

$\dfrac{\pi}{2}-\cot^{-1}\left(\dfrac{1}{2}\right)$

Answer

$\dfrac{\pi}{2}+	an^{-1}\left(\dfrac{1}{2}ight)$

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