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Series

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

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

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

FilledSmallSquareSeries detects certain essential singularities.

FilledSmallSquareSeries can expand about the point .

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

FilledSmallSquareSeries 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.

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

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

FilledSmallSquare See The Mathematica Book: Section 1.5.9 and Section 3.6.1.

FilledSmallSquare Implementation Notes: see section A.9.5.

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

FilledSmallSquare Related packages: Calculus`Pade`, NumericalMath`Approximations`, DiscreteMath`RSolve`.

Further Examples

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