1. 10.2: Infinite Limits

2. Infinite Limits When the limit of f(x) does not exist and f(x) goes to positive infinity or negative infinity, then we can call that an infinite limit.

3. Discuss the behavior of as x  1.9.99.999.999911.00011.0011.011.1 -10-100-1000-10000?10,000100010010 As x goes closer to 1 from the left, f(x) is smaller and smaller As x goes closer to 1 from the right, f(x) is bigger and bigger

4. Describe the behavior of at 1 and -1.9.99.99911.0011.011.1 1.52631.50251261.5002501?1.49975011.49751241.4761905 -1.1-1.01-1.001-0.999-0.99-0.9 -9-99-999?100110111 because

5. Discuss the behavior of as x  2 1.91.991.99922.0012.012.1 187198671998667?200133420134214 As x goes closer to 2 from the left, f(x) is bigger and bigger As x goes closer to 2 from the right, f(x) is bigger and bigger

6. Theorem 1

7. Theorem 2

8. Theorem 3

9. Theorem 4 See examples next page

10. Horizontal asymptote is y = 0 Horizontal asymptote is y = -3/4

11. There is no horizontal asymptote Horizontal asymptote is y = -1