MATH 2250 Lecture Notes - Lecture 2: Indeterminate Form, Quotient Rule, Product Rule
28 Mar 2018
School
Department
Course
Professor
Document Summary
Review: let x2 + 6x 7 x 1. Compute f (1) and lim x 1 f (x). Notice that even though f (x) does not exist at a point, it is still possible for the limit to exist at that same point. Now we start with the algebraic method of computing limits, starting with the following theorem: Theorem 2 - limits of polynomials: if p (x) is a polynomial, then lim x c. Thus, to compute the limit of a polynomial at a point, all we have to do is evaluate it at one point; eliminating the need to tabulate form the left and from the right. We also have the following properties of limits. Given real values l, m , c, and k, and if. Sum rule: lim x c (f + g)(x) = l + m lim x c f (x) = l and g(x) = m , lim x c.
