This is documentation for Mathematica 6, which was
based on an earlier version of the Wolfram Language.

# Series

 Series[f, {x, x0, n}]generates a power series expansion for f about the point x=x0 to order (x-x0)n. Series[f, {x, x0, nx}, {y, y0, ny}]successively finds series expansions with respect to x, then y.
• Series can construct standard Taylor series, as well as certain expansions involving negative powers, fractional powers and logarithms.
• Series detects certain essential singularities. On[Series::esss] makes Series generate a message in this case.
• Series can expand about the point x=.
• Series[f, {x, 0, n}] constructs Taylor series for any function f according to the formula .
• Series effectively evaluates partial derivatives using D. It assumes that different variables are independent.
• The result of Series is usually a SeriesData object, which you can manipulate with other functions.
• Normal[series] truncates a power series and converts it to a normal expression.
 Scope   (10)
 Options   (4)
 Applications   (8)