MATH 138
Assignment 6
Due by:
11 a.m.
, Friday, February 26
Place your assignment in the correct drop box.
If your assignment falls into
the wrong box, there is a good chance it will become lost. Print your name and
I.D. number at the top of the ﬁrst page of your solutions, and
underline your last
name.
Submit your solutions in the same order as that of the questions appearing
herein. Feel free to use the assignment templates that appear on UWACE.
The following recommended problems from Stewart’s book and the ACE notes
on limits of sequences will give you additional exposure to the limit concept for
sequences.
•
Section 11.1, pp. 586588 # 19, 23, 27, 31, 35, 43, 57, 61, 63, 65, 68, 69.
•
ACE notes on Limits of Sequences (revised): # 26, 27, 32, 33(c), 34, 35, 36
Hand in
your solutions to the following questions.
1. We can sense that
±
3 +
1
n
²
2
→
9
as
n
→ ∞
. Given any
± >
0
, show
that if
n >
7
±
, then
³
³
³
³
³
±
3 +
1
n
²
2

9
³
³
³
³
³
< ±
. This proves from scratch that
±
3 +
1
n
²
2
→
9
.
Hint. You know that