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 November 15th, 2015, 10:38 PM #21 Global Moderator   Joined: Dec 2006 Posts: 20,966 Thanks: 2216 It's evidently infinite. If it were finite, that would mean there were only, say, n positive integers, which would make n+1 a bit hard to explain!
 November 16th, 2015, 12:54 AM #22 Math Team   Joined: Nov 2014 From: Australia Posts: 689 Thanks: 244 Most mathematicians prefer indeterminate to undefined. The reason we say that $\dfrac{0}{0}$ is indeterminate is because it can be "equal" to any real number. You'll need some understanding of limits if you want a thorough explanation. There are plenty of indeterminate values in maths: $\dfrac{x}{0}$ (for any x), $\infty - \infty$ and $\dfrac{\infty}{\infty}$ are some of them. Strangely, $1^\infty$ is also an indeterminate form.
 November 16th, 2015, 02:07 PM #23 Member   Joined: Nov 2015 From: New York State Posts: 41 Thanks: 0 OK, x/0 = indeterminate 1^infinity = indeterminate infinity - infinity = indeterminate infinity / infinity = indeterminate So x/0 = 1^infinity = infinity - infinity = infinity / infinity
 November 16th, 2015, 09:14 PM #24 Math Team   Joined: Nov 2014 From: Australia Posts: 689 Thanks: 244 No. "Indeterminate" is not a number, so all those equals signs you used are wrong.
 November 17th, 2015, 02:52 AM #25 Member   Joined: Nov 2015 From: New York State Posts: 41 Thanks: 0 x/x=1 0/0=1 0/0=0 Given x/x=1 you can not have both 0/0=1 and 0/0=0.
 November 17th, 2015, 03:46 AM #26 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,681 Thanks: 2659 Math Focus: Mainly analysis and algebra $x/0$ is only indeterminate for $x=0$. For all other values of $x$ it is undefined.
 November 17th, 2015, 03:49 AM #27 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,681 Thanks: 2659 Math Focus: Mainly analysis and algebra You should note that language is neither fixed nor precise - unlike mathematics which both (barring new discoveries). There is thus no 1-to-1 mapping between the two.

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