YESPYQ Start Practice
🛠️ JEE➗ Maths

The sum of the infinite series \({\cot }^{-1}\left(\frac{7}{4}\right)+{\cot }^{-1}\left(\frac{19}{4}\right)+{\cot }^{-1}…

Q1

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 :-

[JEE Main 2025, 4 Apr (Shift 2)]

a

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

b

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

c

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

d

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

🔒
Answer & explanation — PYQ Pass

Options are free to see. Unlock the correct answer and full explanation with Pass.

Unlock · ₹149
← Previous questionNext question →

Practice more JEE Maths PYQs

See every question on Inverse Trigonometric Functions, or browse the full JEE question bank.

See all questions on Inverse Trigonometric Functions →