April 1st, 2019, 11:20 PM  #1 
Member Joined: Oct 2014 From: Mars Posts: 37 Thanks: 0  Why isn't dividing by zero = zero?
In layman terms, why is x divided by 0 equal to undefined, and not 0? If anything slightly above 0 is +infinity, and anything slightly below 0 is infinity, can't we argue that the number in between both infinities is 0? 
April 1st, 2019, 11:26 PM  #2 
Senior Member Joined: Oct 2009 Posts: 882 Thanks: 339  How many times do I need to give you 0 apples in order for you to have 1 apple.

April 1st, 2019, 11:58 PM  #3  
Member Joined: Oct 2014 From: Mars Posts: 37 Thanks: 0  Quote:
Last edited by Apple30; April 2nd, 2019 at 12:05 AM.  
April 2nd, 2019, 01:07 AM  #4 
Senior Member Joined: Oct 2009 Posts: 882 Thanks: 339  
April 2nd, 2019, 01:26 AM  #5  
Senior Member Joined: Apr 2014 From: Glasgow Posts: 2,164 Thanks: 736 Math Focus: Physics, mathematical modelling, numerical and computational solutions  Quote:
More specifically, if you consider a function $\displaystyle f(x) = \frac{g(x)}{x}$ and then try and find the limit of that function as x tends to zero, then the limit obtained is not always zero. It changes depending on what g(x) is. A typical example is $\displaystyle g(x) = \sin x$. If you look at the attached table, which shows somes evaluations of the function with decreasing values of x, the function tends towards 1, not 0.  
April 2nd, 2019, 01:35 AM  #6  
Member Joined: Oct 2014 From: Mars Posts: 37 Thanks: 0  Quote:
 
April 2nd, 2019, 01:56 AM  #7 
Senior Member Joined: Apr 2014 From: Glasgow Posts: 2,164 Thanks: 736 Math Focus: Physics, mathematical modelling, numerical and computational solutions  
April 2nd, 2019, 05:06 AM  #8 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1038 
4 apples divided by 2: Jim and Joe get 2 each 4 apples divided by 1: Jim gets 4 4 apples divided by nobody: ? 
April 2nd, 2019, 07:55 AM  #9  
Math Team Joined: Dec 2013 From: Colombia Posts: 7,689 Thanks: 2669 Math Focus: Mainly analysis and algebra  Quote:
\begin{array}{c  c} x & \frac{\sin x}{x} \\ \hline 0.1\phantom{000} & 0.998334166468282 \\ 0.01\phantom{00} & 0.999983333416667 \\ 0.001\phantom{0} & 0.999999833333342 \\ 0.0001 & 0.999999998333333 \end{array}  
April 2nd, 2019, 12:45 PM  #10 
Senior Member Joined: Jun 2015 From: England Posts: 915 Thanks: 271 
Hey guys, has anyone noticed the date of the first and last posts by the martian OP?


Tags 
dividing 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Dividing by 0  afk  Algebra  3  December 26th, 2014 09:18 PM 
Dividing by zero  Chikis  Elementary Math  4  March 12th, 2013 09:03 AM 
Is this dividing by zero?  maxgeo  Algebra  1  September 12th, 2012 07:18 AM 
Dividing by zero?  Jo15  Calculus  7  January 1st, 2012 07:51 PM 
Dividing by zero  :) Sidways8 :)  Number Theory  14  February 16th, 2011 04:44 PM 