Convergence of sum(1/(1+n^2)) using the integral test resulting in arctan improper integral.
Автор: Zak's Lab
Загружено: 2020-12-15
Просмотров: 1181
Описание:
New videos every week! Subscribe to Zak's Lab / @zakslab
Questions or requests? Post your comments below, and I will respond within 24 hours.
We test the convergence of the sum(1/(1+n^2) using the integral test. In this case, we arrive at integral test resulting in arctan(x), which has to be evaluated from 1 to infinity. When we integrate 1/(1+x^2) on zero to infinity, we find the inverse tangent of infinity is just pi/2, and the integral comes out to a finite number, proving that the series converges. Integral test Calculus 2 problem giving arctan improper integral.
Повторяем попытку...
Доступные форматы для скачивания:
Скачать видео
-
Информация по загрузке: