1. Prove that if a series is conditionally convergent, then the series of negative terms is divergent 2. Suppose that Σ an is a conditionally convergent series and let s ∈ . (a) Prove that there...

1. Prove that if a series is conditionally convergent, then the series of negative terms is divergent

2. Suppose that Σ an is a conditionally convergent series and let s ∈
.

(a) Prove that there exists a rearrangement of Σa_n
that converges conditionally to s.

(b) Prove that there exists a rearrangement of Σa_n
that diverges.