(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let p and q be a polynomial and x_{0}be a zero of q of multiplicity m. Prove that p/q can be assigned a value at x_{0}such that the function thus defined will be continuous there iff x_{0}is a zero of p of multiplicity greater than or equal to m.

2. Relevant equations

3. The attempt at a solution

I'm not quite sure how to even get started. This question just confuses me in what it's asking.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: P/q continuity

**Physics Forums | Science Articles, Homework Help, Discussion**