Finding the Taylor Series for a Function

In this video, I show how to find the Taylor Series for a Function. I go through a step by step that involves writing the formula for a Taylor Series, calculating higher order derivatives, plugging in the center value into the function and its higher order derivatives, looking for a pattern, and finally, writing the Taylor Series in sigma notation.

0:00 - 5:40 - f(x) = 1/(x+2) centered at x = 3
5:40 - 11:35 - g(x) = cosx centered at x = pi/2
11:35 - 18:16 - h(x) = lnx centered at x = 1
18:16 - 23:08 - w(x) = 2^x centered at x = -3

The Taylor Series Method shown in this video is an extension of the Maclaurin Series Method I showed in the following video:    • Finding the Maclaurin Series for a Fu...  

This video is a very technical video. For more about the concept behind a Taylor Series and Taylor Polynomial, watch the following video:
   • What is a Taylor Polynomial?