MATH 138
Assignment 7
Due by:
11 a.m.
, Friday, March 5
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 will give you extra
practice with series.
•
Section 11.2, pp. 694697 # 23, 25, 31, 47, 49
•
Section 11.3, pp. 703704 # 7, 17, 19, 21, 27 (a good one), 33, 37
•
Section 11.4 p. 709 # 3, 9, 11, 13, 17, 35, 19, 38
(many beautiful prolems on this page)
Hand in
your solutions to the following questions.
1. Find the sums of the following series.
(a)
∞
X
n
=0
π
n
2
3
n

1
(b)
∞
X
n
=0
3 + 2
n
3
n
+2
2.
(a) Use the integral test to show that the series
∞
X
n
=1
ln
n
n
2
converges.
(b) If