Explore the intricacies of Taylor and Maclaurin Series in this comprehensive 30-minute video lecture. Delve into advanced calculus concepts, starting with the Taylor Series for a polynomial centered at 1 and progressing to the Taylor Series of ln(x) at x = 2 and e^2x at a = 3. Tackle challenging problems, including integrating x*cos(x^3) and (e^x-1)/x as power series. Master the art of integrating power series and learn to apply these techniques to evaluate limits. Enhance your understanding of series expansions and their applications in calculus through practical examples and problem-solving exercises.
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
