Math 104 - Assignment 8 Tuesday, November 8, 2015

Week 8 Material: Chapter 10 - Series

Textbook reading Eighth Homework Assignment - due at lecture on Tuesday, November 15.
  1. Reading: Sections 10.5 through 10.7
  2. Textbook assignment: (submit nothing) Make certain you can do the following problems from the textbook:
  3. 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)
  4. 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.