My Math Forum  

Go Back   My Math Forum > College Math Forum > Number Theory

Number Theory Number Theory Math Forum


Thanks Tree1Thanks
  • 1 Post By Maschke
Reply
 
LinkBack Thread Tools Display Modes
August 6th, 2019, 10:28 PM   #1
Senior Member
 
Joined: May 2015
From: Arlington, VA

Posts: 444
Thanks: 29

Math Focus: Number theory
The countless inverse of x-->0

As x-->0 does 1/x pass through numbers of cardinality approaching infinity?
Loren is offline  
 
August 7th, 2019, 01:28 PM   #2
Global Moderator
 
Joined: May 2007

Posts: 6,806
Thanks: 716

Quote:
numbers of cardinality
What do you mean? In any case thr range of 1/x consists of all numbers except 0.
mathman is offline  
August 7th, 2019, 06:52 PM   #3
Senior Member
 
Joined: May 2015
From: Arlington, VA

Posts: 444
Thanks: 29

Math Focus: Number theory
Quote:
Originally Posted by mathman View Post
What do you mean? In any case thr range of 1/x consists of all numbers except 0.
Does the reciprocal of a limit, 1/(lim|x|-->0), surpass all uncountable numbers, no matter what cardinality their set?
Loren is offline  
August 7th, 2019, 09:45 PM   #4
Senior Member
 
Joined: Aug 2012

Posts: 2,355
Thanks: 737

Quote:
Originally Posted by Loren View Post
Does the reciprocal of a limit, 1/(lim|x|-->0), surpass all uncountable numbers, no matter what cardinality their set?
As x -> 0 from the right, say, 1/x goes to infinity (which just means that it gets arbitrarily large) and passes through each of the positive real numbers, of which there are an uncountable infinity.
Thanks from Loren
Maschke is offline  
Reply

  My Math Forum > College Math Forum > Number Theory

Tags
countless, inverse, inverses, x&gt0, x>0



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Tan inverse yorkmanz Trigonometry 4 May 25th, 2019 05:05 PM
Inverse SeanDaniel Linear Algebra 2 November 15th, 2014 03:21 PM
find inverse of inverse function jaredbeach Algebra 1 November 17th, 2011 11:58 AM
inverse of sum kaka2012sea Linear Algebra 0 October 29th, 2011 10:20 AM
right inverse and left inverse JOANA Abstract Algebra 0 March 18th, 2011 06:29 AM





Copyright © 2019 My Math Forum. All rights reserved.