JEE Main 2025 (4 Apr, Shift 2) Maths Q13: The sum of the…

Question

The sum of the infinite series $\cot^{-1}\left(\frac{7}{4}\right)+\cot^{-1}\left(\frac{19}{4}\right)+\cot^{-1}\left(\frac{39}{4}\right)+\cot^{-1}\left(\frac{67}{4}\right)+\ldots$ is :

Accepted Answer

Option 3: $\frac{\pi}{2}-	an^{-1}\left(\frac{1}{2}ight)$

Answer

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

Answer

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

Answer

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

Answer

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

JEE Main 4 April 2025, Shift 2, Maths Q13

Same idea in other shifts