HONS 115 Study Guide - Final Guide: Difference Quotient, Precalculus, Antiderivative
38 views4 pages
Document Summary
Although plugging a value into a function and getting output are very useful, sometimes we need something else. There you see a graph of the function sin(x)/x. Of course, if you plug x = 0 into this function, nothing comes out, but looking at the graph you see that if the function were equal to 1 at x = 0 it would make the graph continuous. In other words, the limit tells us what a function should be equal to at a point in order to make the function continuous. This works even if the function is defined at that point (see figure 4 on page 84). There are also one sided limits (page 87) and limits at infinity (section 2. 6). You should understand the concept of a limit, and you should be able to compute or estimate a limit in four different ways: numerically, graphically, analytically (by using l"hospital"s rule) and algebraically.
Get access
Grade+
$40 USD/m
Billed monthly
Homework Help
Study Guides
Textbook Solutions
Class Notes
Textbook Notes
Booster Class
10 Verified Answers