Sequences

Introduction

A sequence is a mapping from the set of natural numbers {1, 2, 3, ...}.

Example

The fractions

1/1, 1/2, 1/3, 1/4, . . ., 1/n, . . .

is a sequence.

Example

The functions

1, 1 + x, 1 + x + x2/2!, . . ., 1 + x + ... + xn/n!, . . .

is a sequence of functions.