April 2nd, 2019, 11:02 PM  #11  
Senior Member Joined: Sep 2016 From: USA Posts: 600 Thanks: 366 Math Focus: Dynamical systems, analytic function theory, numerics  Quote:
 
April 3rd, 2019, 01:24 AM  #12 
Senior Member Joined: Apr 2014 From: Glasgow Posts: 2,150 Thanks: 730 Math Focus: Physics, mathematical modelling, numerical and computational solutions  The OP was asking about why divide by zero was undefined instead of always evaluating to 0. I gave an example of a function which, at first glance, looks like a divide by zero, but the function evaluates to 1 instead.

April 3rd, 2019, 01:46 AM  #13 
Senior Member Joined: Oct 2009 Posts: 772 Thanks: 279  But it's not a divide by 0. It has nothing to do with it. You have written a limit, but limits have nothing to do with these algebraic operations. You can't argue for or against division by 0 by starting about limits.

April 3rd, 2019, 04:24 AM  #14 
Senior Member Joined: Dec 2015 From: iPhone Posts: 486 Thanks: 75 
You cannot divide by 0 because there is nothing to divide . The only number that can be divided by 0 is 0 . 
April 3rd, 2019, 04:38 AM  #15 
Senior Member Joined: Oct 2009 Posts: 772 Thanks: 279  
April 3rd, 2019, 04:41 AM  #16 
Math Team Joined: May 2013 From: The Astral plane Posts: 2,138 Thanks: 872 Math Focus: Wibbly wobbly timeywimey stuff. 
Let me second that. Nooooooooooooooooooooooooooooooo!!!!!! Dan 
April 3rd, 2019, 04:58 AM  #17 
Senior Member Joined: Dec 2015 From: iPhone Posts: 486 Thanks: 75 
I mean 0/0 makes sense but it is undefined. Division by 0 makes sense in limits. Last edited by idontknow; April 3rd, 2019 at 05:03 AM. 
April 3rd, 2019, 05:14 AM  #18 
Senior Member Joined: Oct 2009 Posts: 772 Thanks: 279  
April 3rd, 2019, 05:39 AM  #19 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,932 Thanks: 1127 Math Focus: Elementary mathematics and beyond 
0/0 may be indeterminate in the context of limits. Algebraic operations come into play during direct substitution, among other things.

April 3rd, 2019, 05:40 AM  #20 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,640 Thanks: 2624 Math Focus: Mainly analysis and algebra  

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