Taylor Series, Maclaurin Series - Calculus

This video explains the Taylor series, including expansion about x=a or x=0 (Maclaurin series), for elementary functions like e^x, sinx and cosx, how it they can be used to derive the Euler formula and geometric series, how to know if a function has a Taylor series (i.e. it must be continuous and infinitely differentiable at x=a), and examples.

0:00 Taylor and Maclaurin series, definition
1:52 Worked examples