Learn how to apply Taylor and Maclaurin series in calculus. This course covers topics such as Taylor Series for polynomials, ln(x), and e^2x, as well as integrating functions as power series. By the end of the course, students will be able to integrate various functions using power series and evaluate limits using power series. The teaching method includes step-by-step explanations and examples. This course is intended for students studying calculus or anyone interested in expanding their knowledge of Taylor and Maclaurin series.
Overview
Syllabus
Taylor Series for a polynomial centered at 1.
Taylor Series of ln(x) at x = 2.
Taylor Series for e^2x at a =3.
Q283, Integrate x*cos(x^3) as a power series.
Q284, Integrate (e^x-1)/x as a power series.
11 10#49 Integrate Power Series.
11 10#55 Use Power Series to Evaluate Limit.
11 10#56 Use Power Series to Evaluate Limit.
11 10#57 Use Power Series to Evaluate Limit.
Taught by
blackpenredpen
