Series for exponential and logarithmic functions x e = 1 + x x 2 3 x + + + ... 2! 3!

In common parlance the words series and sequence are essentially synonomous, however, in mathematics the distinction between the two is that a series is the sum of the terms of a …

11.2 Series (a) A sequence is an ordered list of numbers whereas a series is the sum of a list of numbers. (b) A series is convergent if the sequence of partial sums is a convergent sequence. …

The geometric series has a special feature that makes it unlike a typical polynomial— the coefficients of the powers of x are the same, namely k. We will need to allow more general …

1. Convergence and Divergence Tests for Series ... 2. Important Series to Remember

Arithmetic Series Definition An arithmetic series has the form P(ak + b) Examples of arithmetic series:

The rearrangement of a double series into a single series is one natural way to interpret a double series in terms of single series. Another way is to use iterated sums of single series.