Q1270 (Q1270): Difference between revisions

@@ Property / relevant answers: 3124622 / qualifier @@
-our score: 2Amount 2
Unit 1
 Amount
 Unit

Revision as of 16:15, 14 May 2020

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Language	Label	Description	Also known as
English	No label defined	No description defined

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A.60

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0 < a_{n} = \prod_{k = 1}^{n} (1 - \frac{1}{\sqrt{k + 1}}) < \prod_{k = 1}^{n} (1 - \frac{1}{k + 1}) = \frac{1}{n + 1} \to 0

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lim_{n \to \infty} \log a_{n} = \sum_{k = 1}^{\infty} \log (1 - \frac{1}{\sqrt{k + 1}})

1

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