HW06 - a n ) n =0 is monotonic. (iii) Show by example that...

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Modern Analysis 1 Homework 06 1. Let ( a n ) n =0 be a sequence of strictly positive real numbers. (i) Prove that if n > 0 a n converges then so does n > 0 a n a n +1 . (ii) Prove the converse when the sequence (
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Unformatted text preview: a n ) n =0 is monotonic. (iii) Show by example that the converse may fail in general. 1...
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