Calculus 2, (Part of) Lecture 28A, Taylor Series Facts and Calculations

Caclulus 2, Part of Lecture 28A. Sorry this video gets cut off short. The camera must have accidentally gotten turned off without the camera person knowing.

(0:00) Lecture plan and comments about the next exam.
(2:23) Basic geometric series example.
(3:48) A more complicated geometric series example (need algebraic tricks).
(7:45) Binomial series formula.
(9:46) Taylor series for sqrt(1+x) using the binomial series formula.
(11:20) Use Series on Mathematica to check.
(13:03) Reminder of the general Taylor series formula (and a note that they are also called MacLaurin series when a = 0).
(15:03) Taylor series for sin(x) and cos(x).