1. MCS 118 Fall 2013 September 23, 2013

2. GUSTAVUS ADOLPHUS COLLEGEgustavus.edu Announcements Quiz next Monday. If you need accommodations, see me. MCS 118, 9/23/13Slide #2

3. GUSTAVUS ADOLPHUS COLLEGEgustavus.edu Today’s schedule One more epsilon-delta problem Using properties of limits to calculate limits What to do when the properties don’t work MCS 118 9/23/13Slide #3

4. GUSTAVUS ADOLPHUS COLLEGEgustavus.edu MCS 118, 9/23/13Slide #4 Epsilon-delta problems Problem 2 on Friday’s worksheet

5. GUSTAVUS ADOLPHUS COLLEGEgustavus.edu MCS 118, 9/23/13Slide #5 Handout on properties of limits Some basic rules Combining limits Functions that agree at all but one point The squeeze theorem

6. GUSTAVUS ADOLPHUS COLLEGEgustavus.edu MCS 118, 9/23/13Slide #6 Using the first three properties calculate limits Plug in and hope Factor top and bottom Rationalize

7. GUSTAVUS ADOLPHUS COLLEGEgustavus.edu MCS 118, 9/23/13Slide #7 In summary To calculate a limit of polynomials, just plug in To calculate a limit of a rational function, plug in. If you get 0/0, try factoring. To calculate a limit with square roots, plug in. If that doesn’t work, try rationalizing. If you still can’t find it, use a table or a graph.

8. GUSTAVUS ADOLPHUS COLLEGEgustavus.edu Coming up: More practice on finding limits Homework due on Thursday Quiz on Monday next week, no class on Tuesday MCS 118, 9/23/13Slide #8