This chapter starts rocking with a comprehensive study of Taylor polynomials that will make you see the beauty and simplicity of Taylor! From there you will learn about Taylor’s Theorem, the Lagrange Error Bound, and Alternating Series Error. Next, it is off to master power series, interval of convergence, and radius of convergence. Then you will learn how to differentiate and integrate power series by understanding you are simply working with polynomials! The second to last stop on this adventure will have you building power series using the sum formula for a geometric series. The chapter finishes off smoothly with every free-response question type on series you could ever want and oodles of excellent original multiple choice question practice! Time to feel great about Taylor polynomials and power series!!
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