Math 104 - Assignment 8
Tuesday, November 8, 2015
Week 8 Material: Chapter 10 - Series
- Ratio test, root test and alternating series test
- Power series -- interval of convergence
- Taylor polynomials and series
Textbook reading
- Chapter 10 -- sections 10.5 through 10.7
Eighth Homework Assignment - due at lecture on Tuesday, November
15.
- Reading: Sections 10.5 through 10.7
- Textbook assignment: (submit nothing) Make certain you can do
the following problems from the textbook:
- Section 10.5, p. 609 (old ed., page 585), # 3, 7 (old ed., make the
series alternating by multiplying ters by (-1)n), 11,
17,
25 (old ed., make the series alternating by multiplying terms by
(-1)n), 29,
39 (old ed., put a minus sign in front of every term), 47, 57
- Section 10.6, p. 615 (old ed., page 591), # 5, 17, 23, 35, 39, 49, 53
- Section 10.7, p. 624 (old ed., page 600), # 5, 9, 13, 23, 33, 39, 43
- Textbook assignment:
Submit answers to Homework Assignment 8 on MyMathLab. If for some reason
you are unable to access MyMathLab, the Assignment 8 problems correspond
roughly to the following textbook problems, and if you need to, you can turn
in solutions to the following textbook problems on paper at lecture on
November 15:
- Section 10.5, p. 609 (old ed., page 585), # 4, 8, 14, 20, 26, 30, 38
(old ed., make the denominator (-n)n), 48, 56
(old ed., make the series alternating by multiplying terms by
(-1)n), 58 (old ed., make the series alternating by
multiplying terms by (-1)n)
- Section 10.6, p. 615 (old ed., page 591), # 10, 20, 30, 36, 42, 50,
54
- Section 10.7, p. 624 (old ed., page 600) # 6,
10, 14, 28, 34, 38, 46, 56 (old ed., #52)
- Old final exam problems to turn in: Four
problems on this link -- you should print out the file and show your work
for each problem on the page with the problem.
Bonus problem #8:
Consider the series whose terms are the reciprocals of the positive integers
that can be written (in ordinary base 10 notation) without using the digit
0. Show that this seris is convergent and that its sum is less than 90.
For full credit, you must be as specific as you possibly
can! When you have solved it, either write up the solution by hand
and give it to me, or else send
the solution
to
deturck@math.upenn.edu
by electronic mail - extra credit for the first complete solution I
receive.