Find a series ak that satisfies each of the following conditions or explain why it is not possible. k=1 (a) lim ak = 0 and Σak diverges. k→∞ k=1 (b) lim ak = 0 and a converges. k→∞ k=1 (c) lim ak = 0 and ak = 3 k→∞ k=1

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