We carry on with our study of the definition of a limit, concentrating on particularly pleasant and amenable kinds of sequences, associated to rational polynumbers (or rational functions) and now going to infinity. Again we use a simpler and more elegant variant on the classical definition which is well suited to this situation, and makes verifying limits into finite tasks!
Does mathematics make logical sense? No, it does not. Foundational issues have been finessed by modern mathematicians, and this series aims to turn things around. And it will have interesting things to say also about mathematics education---especially at the primary and high school level. The plan is to start right from the beginning, and to define all the really important concepts of basic mathematics without any waffling or appeals to authority. Roughly we discuss first arithmetic, then geometry, then algebra, then analysis, then set theory. This course is aimed for a general audience, interested in mathematics, or willing to learn.