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badreferences
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Here's your math challenge of the day. Let (a_n) be a sequence of positive real numbers, decreasing and the sum of whose terms are infinite. Prove that the series whose general term is min(a_n) is also divergent.
Taken from AoPS, and by extension, the German TST.
It's a pretty problem.
 2 years ago
 2 years ago
badreferences Group Title
Here's your math challenge of the day. Let (a_n) be a sequence of positive real numbers, decreasing and the sum of whose terms are infinite. Prove that the series whose general term is min(a_n) is also divergent. Taken from AoPS, and by extension, the German TST. It's a pretty problem.
 2 years ago
 2 years ago

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badreferences Group TitleBest ResponseYou've already chosen the best response.0
Sorry, I mean min(a_n, 1/n)
 2 years ago

badreferences Group TitleBest ResponseYou've already chosen the best response.0
X3 bad typo
 2 years ago
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