The function taylor(f,n,v,a) interprets the expression f as a function of v, and returns the (n-1)-degree Taylor series expansion of f(v) about the point a.

If n is not specified, then n = 6.

If v is not specified, then v is the default symbol of f, given by findsym(f,1).

If a is not specified, then a = 0.

The optional parameters need not be passed in the order, n,v,a. More precisely, the arguments are assigned to n, v, and a in the following way:

. The first positive integer optional argument is assigned to n.

. The first non-numeric optional argument is assigned to v.

. The first real numeric optional argument is assigned to a, unless the argument is also a positive integer and n has not yet been assigned a value.