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March 11th, 2019, 06:34 AM   #1
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Infinite product

How to show whether the infinite product converges ?

$\displaystyle p=\prod_{n=1}^{\infty } \prod_{m=1}^{\infty } \frac{n}{10^{m}} \; \; $ , $\displaystyle n,m \in \mathbb{N}$ .
Is p the product of all numbers in interval $\displaystyle (0,1)$ ?
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March 11th, 2019, 08:48 AM   #2
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I posted it wrong , the variable n is from 1 to m .
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March 11th, 2019, 09:59 AM   #3
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Are you sure it isn't still wrong?
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March 11th, 2019, 10:04 AM   #4
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No delete the thread ,I will open another thread if needed .
Free to delete or close the thread .
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