Computing Limits at Infinity

The limits in sections 10.1 and 10.2 were limits in which the value of x approached some finite value. By writing

we were looking for the behavior of the function f (x) as x got closer and closer to the value a. In this section we’ll learn how to evaluate a second type of limit. In limits at infinity, we look at the behavior of the function as x gets more and more positive or as x gets more and more negative. We symbolize limits like this by writing

  or  

As with other limits, we may evaluate the limit with a table, graph, or using algebra.

Read in Section 10.4

• How do you evaluate a limit at infinity using a table or graph?
• How do you evaluate limits at infinity using algebra?

Section 10.4 Workbook (PDF) 8-18-19

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