MathDB
2000 Guts #18: Infinite trigonometric sum

Source:

October 12, 2014
trigonometrylimit

Problem Statement

What is the value of ∑n=1∞(tan⁡−1n−tan⁡−1n+1) \sum_{n=1}^\infty (\tan^{-1}\sqrt{n}-\tan^{-1}\sqrt{n+1})?
Back to ProblemsView on AoPS