Question 1
What is a rearrangement of a series $\sum_{n=1}^\infty a_n$?
Question 2
If $\sum_{n=1}^\infty a_n$ converges absolutely, what happens to any rearrangement?
Question 3
Which series is a standard example of a conditionally convergent series?
Question 4
What does the Riemann rearrangement theorem say about a conditionally convergent series?
Question 5
Which of the following is a valid rearrangement of $\sum_{n=1}^\infty a_n$?