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Series expansion : series

series takes from one to four arguments : Note that the syntax ...,x,a,n,... (instead of ...,x=a,n,...) is also accepted.
series returns a polynomial in x-a, plus a remainder of the form:
(x-a)^n*order_size(x-a)
where order_size is a function such that,

\begin{displaymath}\forall r>0, \quad \lim_{x\rightarrow 0} x^r \mbox{order\_size}(x) = 0 \end{displaymath}

The order returned by series may be smaller than n if cancellations between numerator and denominator occur.

Examples :


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giac documentation written by Renée De Graeve and Bernard Parisse