Let {a;} and {b;} be any sequences. Consider the following statements: Σα di If 0 < ai < b; for all i 245 and diverges, then with I. E(b: + 2) certainty it is satisfied that is also divergent. 2 II. If bj >0 for all i 224 and lim 9, Σ is convergent. then with certainty it is satisfied that

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