21  Series and Transforms

J. Barron

Series

Arithmetic Series

Sum of n terms:

Image

Geometric Series

Sum of n terms:

Image

Binomial Series

Image

If p is a positive integer, the series terminates with the term in xp and is valid for all x; otherwise, the series does not terminate and is valid only for -1 < x < 1.

Taylor’s Series

Infinite form:

Image

Finite form:

where 0 ...

Get The Cable and Telecommunications Professionals' Reference, 3rd Edition now with the O’Reilly learning platform.

O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.