Documentation

# Expansion

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

### Note

MuPAD® notebooks will be removed in a future release. Use MATLAB® live scripts instead.

To convert a MuPAD notebook file to a MATLAB live script file, see `convertMuPADNotebook`. MATLAB live scripts support most MuPAD functionality, although there are some differences. For more information, see Convert MuPAD Notebooks to MATLAB Live Scripts.

 `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`.

#### Mathematical Modeling with Symbolic Math Toolbox

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