March 11th, 2019, 06:34 AM  #1 
Senior Member Joined: Dec 2015 From: somewhere Posts: 634 Thanks: 91  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: 634 Thanks: 91 
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: 20,966 Thanks: 2216 
Are you sure it isn't still wrong?

March 11th, 2019, 10:04 AM  #4 
Senior Member Joined: Dec 2015 From: somewhere Posts: 634 Thanks: 91 
No delete the thread ,I will open another thread if needed . Free to delete or close the thread . 

Tags 
infinite, product 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Relation between an infinite product and an infinite sum.  Agno  Number Theory  0  March 8th, 2014 04:25 AM 
infinite product of polynomials  gelatine1  Algebra  6  May 10th, 2013 11:37 PM 
Infinite Product  netzweltler  Applied Math  8  February 4th, 2012 04:51 AM 
Infinite product n=2 to infinity  Agno  Number Theory  21  January 31st, 2011 10:04 AM 
infinite product structure  all.crazyes  Real Analysis  3  March 3rd, 2010 10:10 AM 