# Series Expansions

A representation of a particular function as a sum of powers in one of its variables.

- for all
*x* - -1 <
≤ 1*x* - -1 <
< 1*A* - for all
*A* - for all
*A* - -π/2 <
< π/2*A* - -π/2 <
< π/2*A* - -π <
< π*A* - -π <
< π*A* - -1 <
< 1*A* - -1 ≤
≤ 1*A* > 1*A*< -1*A*- for all
*A* - for all
*A* - -π/2 <
< π/2*A*

**See also: **Binomial Theorem, Cosecant, Cosine, Cotangent, Secant, Series, Sine, Tangent.