Assume that {an} is a sequence of real numbers. Let and bn = { % An if An ≥ 0, if An <0 { 0 if an ≥ 0, if an < 0. Сп = Which of the following statements are true? ∞ An a) If an converges, then so does Σ bn and Σ Cn. n=1 ∞ b) If Σ ότι and टे n=1 n=1 ∞ n=1 n=1 Cn converge, then an converges. n→∞ ∞ Σ c) If an converges absolutely, then so does Σ bn and Σ Cn. n=1 ∞ ∞ n=1 n=1 d) If Σ an converges conditionally, then Σ b diverges to ∞. n=1 ∞ n=1 e) If Σ bn diverges to ∞, then Σ an also diverges. n=1 n=1