Series
Series[f,
x,
, n
] generates a power series expansion for f about the point
to order
.
Series[f,
x,
, 
,
y,
, 
] successively finds series expansions with respect to y, then x.
Series can construct standard Taylor series, as well as certain expansions involving negative powers, fractional powers and logarithms.
Series detects certain essential singularities.
Series can expand about the point
.
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.
Normal[series] truncates a power series and converts it to a normal expression.
SeriesCoefficient[series, n] finds the coefficient of the 
order term.
See The Mathematica Book on the web: Section 1.5.9 and Section 3.6.1.
Implementation Notes: see Section A.9.5.
See also: Limit, Normal.
Further Examples