Series
Usage
• 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.
Notes
• 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. • 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. • SeriesCoefficient[series, n] finds the coefficient of the   order term. • New in Version 1; modified in 3.
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