Lessons for Topic 10.15
The binomial seriesA power series for a binomial raised to any real exponent.Lesson
Power series and the interval of convergenceChecking each end separately, since the ratio test says nothing there.Lesson
Representing functions as power seriesTerm by term integration gives series for functions that resist antidifferentiation.Lesson
The Taylor remainder and the Lagrange error boundA ceiling on the remainder built from the next derivative and the distance from the center.Lesson