In this lesson, our instructor John Zhu gives an introduction to the power series convergence. He defines the power series and goes over the radius and interval of convergence. He continues helping you understand through some example problems.
Power series can be convergence on
an interval of x
Test for power series convergence:
Use ratio test to check for
If not absolutely convergent,
solve for x value when it is absolutely convergent
Check x bounds for
convergence by plugging in x to create series
Power Series Convergence
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.