# Documentation

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# Expansion

Taylor series, theta series, Pade series, and generalized series

 `asympt` Compute an asymptotic series expansion `mtaylor` Compute a multivariate Taylor series expansion `O` Domain of order terms (Landau symbols) `ORDER` Default number of terms in series expansions `pade` Pade approximation `series` Compute a generalized series expansion `taylor` Compute a Taylor series expansion

 `Series::Puiseux` Truncated Puiseux series expansions `Series::gseries` Generalized series expansions

## Examples and How To

Compute Taylor Series for Univariate Expressions

Taylor series expansions serve for approximating an arbitrary expression by a polynomial expression around some value of a variable.

Compute Taylor Series for Multivariate Expressions

To compute a series expansion for a multivariate expression, use the mtaylor command.

Control Number of Terms in Series Expansions

Taylor series expansions approximate an arbitrary expression with a polynomial.

Compute Generalized Series

The Taylor series expansion is the most common way to approximate an expression by a polynomial.

## Concepts

O-term (The Landau Symbol)

When computing the series expansions, you get expressions with one of the terms represented as the Landau symbol O.