This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.
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Series Expansions
Power series are in many ways the algebraic analog of limited-precision numbers. Mathematica can generate series approximations to virtually any combination of built-in mathematical functions. It will then automatically combine series, truncating to the correct order. Mathematica supports not only ordinary power series, but also Laurent series and Puiseux series, as well as complex asymptotic expansions for special functions with elaborate branch cut structures. Many of the formulas used are original to Mathematica.
Series construct a series expansion in one or more variables
Normal convert from a series expansion to an ordinary expression
O symbolic representation of a higher-order series term
Assumptions, Assuming give assumptions about parameters

Coefficient coefficient of a particular term in an ordinary power series
CoefficientList coefficients in an ordinary power series
SeriesCoefficient coefficient of a term in a general series

InverseSeries find the functional inverse of a series
ComposeSeries find the functional composition of series

Limit find the limit of a series at its expansion point
Integrate integrate a series
D differentiate a series

LogicalExpand expand out equations for series

PadeApproximant construct a rational approximation to a function
TUTORIALS