1. MATH 101- term 101 : CALCULUS I – Dr. Faisal Fairag Example: 11 0.110 0.01100 0.0011000 ----------- 0.0000011,000,000 Example: 11 0.0110 0.0001100 0.0000011000 ----------- 10^(-12)1,000,000

2. MATH 101- term 101 : CALCULUS I – Dr. Faisal Fairag

3. Example:

4. MATH 101- term 101 : CALCULUS I – Dr. Faisal Fairag Example: To evaluate the limit at infinity of any rational function, we first divide both the numerator and denominator by the highest power of that occurs in the denominator. Example:

5. MATH 101- term 101 : CALCULUS I – Dr. Faisal Fairag To evaluate the limit at infinity of any rational function, we first divide both the numerator and denominator by the highest power of that occurs in the denominator. Example:

6. Notes:

8. MATH 101- term 101 : CALCULUS I – Dr. Faisal Fairag Multiply by conjugate radical. Example:

9. MATH 101- term 101 : CALCULUS I – Dr. Faisal Fairag Example:

10. The line Is a horizontal asymptote MATH 101- term 101 : CALCULUS I – Dr. Faisal Fairag

11. The line Is a horizontal asymptote Example:

12. MATH 101- term 101 : CALCULUS I – Dr. Faisal Fairag The line Is a horizontal asymptote Example:

13. MATH 101- term 101 : CALCULUS I – Dr. Faisal Fairag Example:

14. MATH 101- term 101 : CALCULUS I – Dr. Faisal Fairag To evaluate the limit at infinity of any rational function, we first divide both the numerator and denominator by the highest power of that occurs in the denominator. Multiply by conjugate radical. Factor then take the limit

15. MATH 101- term 101 : CALCULUS I – Dr. Faisal Fairag Who is going faster to infinity Example:

16. MATH 101- term 101 : CALCULUS I – Dr. Faisal Fairag Example: Sketch the graph of

17. MATH 101- term 101 : CALCULUS I – Dr. Faisal Fairag R

18. H H R

19. H H H H H R

20. H H H R R