ABSTRACT

In Chapters 9 and 10, we studied series of numbers, whereas Chapter 26 deals with the series of functions. In this and the next chapters, we will discuss a special type of series of functions known as power series centered at α ∈ ℛ, which in the general form appears as () ∑ n = 0 ∞ a n ( x − α ) n = a 0 + a 1 ( x − α ) + a 2 ( r − α ) 2 + ⋯ . https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781351180641/0424c007-6610-4c93-8ae3-088a74bd8b1d/content/eq2406.tif"/>