Mathematica 9 is now available

Documentation / CalculationCenter / Functions / Calculus /

SeriesExpand

FilledSmallSquare SeriesExpand[f, {x, , n}] generates a power series expansion for f about the point to order .

FilledSmallSquare SeriesExpand can construct standard Taylor series, as well as certain expansions involving negative powers, fractional powers, and logarithms.

FilledSmallSquare SeriesExpand detects certain essential singularities.

FilledSmallSquare SeriesExpand can expand about the point .

FilledSmallSquare SeriesExpand[f, {x, 0, n}] constructs Taylor series for any function f according to the formula .

FilledSmallSquare SeriesExpand effectively evaluates partial derivatives using D. It assumes that different variables are independent.

Examples

Using InstantCalculators

Here are the InstantCalculators for the SeriesExpand function. Enter the parameters for your calculation and click Calculate to see the result.

In[1]:=

Out[1]=

In[2]:=

Out[2]=

Entering Commands Directly

You can paste a template for this command via the Text Input button on the SeriesExpand Function Controller.

This gives the general Taylor series up to the fifth degree term for a function f.

In[3]:=

Out[3]=

Here is a series for .

In[4]:=

Out[4]=

Here is a series for .

In[5]:=

Out[5]=

You can do arithmetic on series objects.

In[6]:=

Out[6]=



Any questions about topics on this page? Click here to get an individual response.Buy NowMore Information
THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.