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BUILT-IN MATHEMATICA SYMBOL
Series
Series[f, {x, x0, n}]
generates a power series expansion for f about the point 
to order 
.
Series[f, {x, x0, nx}, {y, y0, ny}, ...]
successively finds series expansions with respect to x, then y, etc.
Details and Options
- 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
. - 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 n
-order term.
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