My Math Forum The countless inverse of x-->0
 User Name Remember Me? Password

 Number Theory Number Theory Math Forum

 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?
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.

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 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?

August 7th, 2019, 09:45 PM   #4
Senior Member

Joined: Aug 2012

Posts: 2,355
Thanks: 737

Quote:
 Originally Posted by Loren 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.

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

 Thread Tools Display Modes Linear Mode

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

 Contact - Home - Forums - Cryptocurrency Forum - Top