Series Expansion of an Expression

To expand a function in a Taylor or Laurent series, select the function and either:

Then press [Enter].

If the function contains more than one variable, type a comma after "series," and then type a comma-separated list of the variable(s) around which you want to expand in the placeholder.

By default, Mathcad expands the function about the point 0, and returns the first six terms of the series. You can change the default behavior by including arguments after "series."

Examples:

Taylor series for exponential function

To expand around a point other than 0, specify a value for the variable or variables after the keyword "series", using the Boolean equals. For example,

Taylor series for exp(x) expanded around 4

To return a different number of terms in the series, type a comma after the variable, followed by an integer specifying the number of terms. Note that terms whose coefficient is 0, which do not appear in the series, count toward the number of terms returned. For example, the following calls for 8 terms of the series for sin(x). Since the coefficients of the terms with even powers are 0, only 4 terms are displayed.

Taylor series for exp(x) up to order 8

Notes:

QuickSheet

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