Infinite Limits

I.  Quiz

II.  Homework

III.  Vertical Asymptotes

Consider the function f(x) = x/(x - 1)  

From the graph we see that there is a vertical asymptote at x = 1.  We say

IV.  Formal Definition

Definition:  We say that lim x-> c f(x) = infinity if  for any choice of N there exists a d such that whenever |x - c| < d then |f(x)| > N.  

We will do several exercises in class.