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   Author  Topic: Product of real number  (Read 319 times)
phobos
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Product of real number  
« on: May 16th, 2003, 12:14pm »		 Quote Quote Modify Modify
1. What's the product of all real number?
 
2. What's the product of all real number without 0?
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mistysakura
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Re: Product of real number  
« Reply #1 on: May 16th, 2003, 9:28pm »		 Quote Quote Modify Modify
1.0
2.Either negative or positive infinity... but it can't be that obvious.
EDIT: Excuse me for being a bit weird that day.
« Last Edit: May 17th, 2003, 3:51pm by mistysakura » IP Logged
LZJ
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Re: Product of real number  
« Reply #2 on: May 16th, 2003, 10:28pm »		 Quote Quote Modify Modify
2. Either 1 or -1.
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phobos
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Re: Product of real number  
« Reply #3 on: May 17th, 2003, 12:34am »		 Quote Quote Modify Modify
1. Right!
 
2. According to the book that I got this question out of the answer should be 1. But I'm not really convinced because their argument is that for any real number, a reciprocal can be found, and the product of the two is 1. So by grouping all real number in this format, the final product will be 1. But I think the same argument can be made to give a final product of 2, 3, 4....so on.
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Icarus
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Re: Product of real number  
« Reply #4 on: May 17th, 2003, 8:20am »		 Quote Quote Modify Modify
Question 2 is meaningless. It is impossible to consistently define a product which contains no zero factors, and an uncountable number of factors other than one.
 
Your book is an excellent example of a little knowledge being dangerous.
« Last Edit: May 17th, 2003, 9:35am by Icarus » IP Logged
"Pi goes on and on and on ...
And e is just as cursed.
I wonder: Which is larger
When their digits are reversed? " - Anonymous
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