We say that {bn} is a rearrangement of {an} if {bn} has the same terms as {an} but
Chapter 10, Problem 43(choose chapter or problem)
We say that {bn} is a rearrangement of {an} if {bn} has the same terms as {an} but occurring in a different order. Show that if {bn} is a rearrangement of {an} and S = n=1 an converges absolutely, then T = n=1 bn also converges absolutely. (This result does not hold if S is only conditionally convergent.) Hint: Prove that the partial sums N n=1 |bn
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