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 March 11th, 2019, 06:34 AM #1 Senior Member   Joined: Dec 2015 From: somewhere Posts: 511 Thanks: 79 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 $\displaystyle (0,1)$ ?
 March 11th, 2019, 08:48 AM #2 Senior Member   Joined: Dec 2015 From: somewhere Posts: 511 Thanks: 79 I posted it wrong , the variable n is from 1 to m .
 March 11th, 2019, 09:59 AM #3 Global Moderator   Joined: Dec 2006 Posts: 20,632 Thanks: 2080 Are you sure it isn't still wrong? Thanks from idontknow
 March 11th, 2019, 10:04 AM #4 Senior Member   Joined: Dec 2015 From: somewhere Posts: 511 Thanks: 79 No delete the thread ,I will open another thread if needed . Free to delete or close the thread .

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