6.36.1  Dividing by increasing power order: divpc

The divpc command finds the truncated Taylor expansion of a quotient of polynomials.

• divpc takes three mandatory arguments and one optional argument:
  • P and Q, two polynomial expressions such that Q has a nonzero constant term/
  • n, an integer.
  • Optionally, x, the variable name (by default x).
• divpc(P,Q,n  ⟨,x⟩) returns the Taylor expansion of P/Q of order n about x=0.

Note that this command does not work on polynomials written as a list of coefficients.

Example.
Input:

Output: