Lecture 12

Learning objectives

After this class, you should be able to:

1. Explain the paradoxes mentioned in the book, with regard to infinite positive sums adding to a negative number, and the same sum adding to different numbers, depending on how the grouping is done.
2. Define an absolutely convergent sum.
3. Determine if a sum is absolutely convergent.
4. Identify properties that absolutely convergent sums satisfy.

Reading assignment

1. Sec 2.7.
2. Start preparing for the midterm.

Exercises and review questions

• Questions on current lecture's material
  1. Exercise 2.28.
  2. Give a paradox related to infinite sums, other than those mentioned in the book.

• Questions on next lecture's material
  1. None.