1. 1.5 Infinite Limits Objectives: -Students will determine infinite limits from the left and from the right -Students will find and sketch the vertical asymptotes of the graph of a function

2. Vertical Asymptote: If f(x) approaches ∞ or -∞ as x→c from the right or left, then the line x= c is a vertical asymptote.

3. Asymptote or Hiatus Point? A vertical asymptote occurs at any x-value that makes the denominator =0 but numerator ≠0 An x-value that makes the numerator and denominator =0 is a hiatus point

4. Ex 1)

5. Ex 2)

6. Ex 3)

7. 3.5 Limits at Infinity Objectives: -Students will determine finite limits at infinity -Students will determine the horizontal asymptotes, if any, of the graph of the function -Students will determine infinite limits at infinity

8. Limits at Infinity: Let n = degree of numerator m= degree of denominator n>m, n=m, n<m,

9. Ex 4)

10. Ex 5)

11. Ex 6)