1. 2.5 Evaluating Limits Algebraically Fri Sept 11

2. Rewriting Limits Because limits only depend on values that lead up to x, we can rewrite functions and not affect the limit

3. Indeterminate forms A function f(x) has an indeterminate form at x = c if f(c) yields one of the following:

4. Finding a Limit by Factoring One method to evaluate limits is to eliminate factors in the denominator. Ex:

5. EX 2 Evaluate

6. Ex 2b We can also factor trigonometric limits

7. Ex 3 We can rewrite by multiplying by the conjugate

8. Ex 4 Evaluate

9. Combining Fractions We can add two fractions with undefined values to help cancel

10. Infinite but not indeterminate Evaluate

11. You try Evaluate each limit 1) 2) 3)

12. Continue to 2.6