Homework #8
Infinite Limits
Read section 2.4
Exercises from the text: Pages 86-88: #3a, 4, 7, 11, 12, 13, 20
Here are some more exercises in thought and logic that you will most certainly find
interesting.
For each exercise, determine whether the statement is true or false. If true, prove the
statement. If false, give a counterexample.
1.
If an > 0 for all n and an   , then Lim
2.
If an is unbounded, then an   .
3.
Suppose that an   and bn   . Then
a. an  bn  
n 
1
 0.
an
b. an  bn  
4. If an   and bn is a sequence of real numbers, then
bn
 0.
an