Question: (Urgent) Please help to solve this Mathematical Analysis (Introduction to Real Analysis) question. Many thanks! 8. [5 points] Let ock be a convergent series of

(Urgent) Please help to solve this Mathematical Analysis (Introduction to Real Analysis) question. Many thanks!

8. [5 points] Let ock be a convergent series of real numbers such that k=1 Ck > 0 for all k E N, and ExK = 1. k=1 Is it true that there exists a sequence of real numbers (ak ) such that OO ak > 0 for all k E N, lim ak = co, and akck = 1? k=1 Justify your answer. Suggestion: Let (Sn) denote the sequence of OO partial sums of OK. Consider (Sn).] k=1

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