SeriesCoefficient

SeriesCoefficient(expr, {x, x0, n})

get the coefficient of (x- x0)^n at the point x = x0

See:

• Wikipedia - Taylor series
• Wikipedia - Big O notation
• Wikipedia - Formal power series

Examples

>> SeriesCoefficient(Sin(x),{x,f+g,n})
Piecewise({{Sin(f+g+1/2*n*Pi)/n!,n>=0}},0)

Related terms

ComposeSeries, InverseSeries, Series, SeriesData

Implementation status

• ✅ - full supported

Github

• Implementation of SeriesCoefficient

• Rule definitions of SeriesCoefficient