MCS 118 Fall 2013

September 23, 2013

GUSTAVUS ADOLPHUS COLLEGE gustavus.edu

Announcements

• Quiz next Monday. If you need accommodations, see

me.

MCS 118, 9/23/13 Slide #2

GUSTAVUS ADOLPHUS COLLEGE gustavus.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 9/23/13 Slide #3

GUSTAVUS ADOLPHUS COLLEGE gustavus.edu

MCS 118, 9/23/13 Slide #4

Epsilon-delta problems

• Problem 2 on Friday’s worksheet

GUSTAVUS ADOLPHUS COLLEGE gustavus.edu

MCS 118, 9/23/13 Slide #5

Handout on properties of limits

• Some basic rules

• Combining limits

• Functions that agree at all but one point

• The squeeze theorem

GUSTAVUS ADOLPHUS COLLEGE gustavus.edu

MCS 118, 9/23/13 Slide #6

Using the first three properties calculate limits

• Plug in and hope

• Factor top and bottom

• Rationalize

GUSTAVUS ADOLPHUS COLLEGE gustavus.edu

MCS 118, 9/23/13 Slide #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.

GUSTAVUS ADOLPHUS COLLEGE gustavus.edu

Coming up:

• More practice on finding limits

• Homework due on Thursday

• Quiz on Monday next week, no class on Tuesday

MCS 118, 9/23/13 Slide #8