This is documentation for Mathematica 6, which was
based on an earlier version of the Wolfram Language.
 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 Power Series Making Power Series Expansions Operations on Power Series The Representation of Power Series Converting Power Series to Normal Expressions MORE ABOUT Function Approximations Package Curve Fitting & Approximate Functions Fourier Series Package Numerical Calculus Package RELATED LINKS Demonstrations related to Series Expansions (The Wolfram Demonstrations Project)