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:

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Laurent Series

Represent a function as a Laurent series.

Find a Laurent series expansion:

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Puiseux Series

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

Find a Puiseux series expansion:

Find a generalized Puiseux series expansion:

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