(12%) 10. Give a counter-example for each of the following "False" statements. 18 (A) 1 an = ∞ ⇒ limn→∞ an # 0 (B) If Σ_

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(12%) 10. Give a counter-example for each of the following "False" statements. 18 (A) 1 an = ∞ ⇒ limn→∞ an # 0 (B) If Σ_1 ªn = A <∞, Σ₁ b₁ = B <∞ then Σ1 (anbn) = AB n=1 (C) If an is convergent, then 1 Van is convergent. n=1 n=1 ●