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Documentation / Mathematica / Built-in Functions / Algebraic Computation / Calculus /

Series

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

FilledSmallSquare Series[f, x, , , y, , ] successively finds series expansions with respect to y, then x.

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

FilledSmallSquare Series detects certain essential singularities.

FilledSmallSquare Series can expand about the point .

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

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

FilledSmallSquare The result of Series is usually a SeriesData object, which you can manipulate with other functions.

FilledSmallSquare Normal[series] truncates a power series and converts it to a normal expression.

FilledSmallSquare SeriesCoefficient[series, n] finds the coefficient of the order term.

FilledSmallSquare See Section 1.5.10 and Section 3.6.1.

FilledSmallSquare Implementation Notes: see Section A.9.5.

FilledSmallSquare See also: InverseSeries, ComposeSeries, Limit, Normal, InverseZTransform, RSolve.

FilledSmallSquare Related packages: Calculus`Pade`, NumericalMath`Approximations`, NumericalMath`NSeries`.

FilledSmallSquare New in Version 1; modified in 3.

Further Examples