Maxima Function
powerseries (expr, x, a)
Returns the general form of the power series expansion for expr
in the variable x about the point a (which may be inf for infinity).
If powerseries is unable to expand expr,
taylor may give the first several terms of the series.
When verbose is true,
powerseries prints progress messages.
(%i1) verbose: true$ (%i2) powerseries (log(sin(x)/x), x, 0); can't expand log(sin(x)) so we'll try again after applying the rule: d / -- (sin(x)) [ dx log(sin(x)) = i ----------- dx ] sin(x) / in the first simplification we have returned: / [ i cot(x) dx - log(x) ] / inf ==== i1 2 i1 2 i1 \ (- 1) 2 bern(2 i1) x > ------------------------------ / i1 (2 i1)! ==== i1 = 1 (%o2) ------------------------------------- 2