Limits at Infinity and Limits of Sequences Section 12.4 Limits at Infinity and Limits of Sequences

Objective By following instructions students will be able to: evaluate limits of functions at infinity. Find limits of sequences.

Limits at Infinity  

Definitions of Limits at Infinity  

Limits at Infinity  

EXAMPLE 1: Find the limit.

EXAMPLE 2: Find the limit as x approaches infinity for each of the following functions. a) b) c)

Limits at Infinity for Rational Functions  

EXAMPLE 3:

Limits of a Sequence  

EXAMPLE 4: Find the limit of each of the following sequences. a) b) c)

EXAMPLE 5: Find the limit of the sequence whose nth term is

Objective Did we… evaluate limits of functions at infinity? Find limits of sequences?

Homework Pg 841 #s 1-37 ODD