Examples for

# Series Expansions

Wolfram|Alpha can compute Taylor, Maclaurin, Laurent, Puiseux and other series expansions. A series expansion is a representation of a mathematical expression in terms of one of the variables, often using the derivative of the expression to compute successive terms in the series. A partial sum of a series expansion can be used to approximate a math expression numerically.

### Taylor Series

Analyze a function using the Taylor power series.

#### Find a Taylor series expansion:

#### Expand around a specified point:

#### Specify the order of the expansion:

#### Specify the center point and the order of the expansion:

### Puiseux Series

Use a power series with fractional exponents to approximate a function.

#### Find a Puiseux series expansion:

#### Find a generalized Puiseux series expansion:

### Laurent Series

Represent a function as a Laurent series.