My Math Forum  

Go Back   My Math Forum > College Math Forum > Real Analysis

Real Analysis Real Analysis Math Forum


Reply
 
LinkBack Thread Tools Display Modes
May 12th, 2013, 04:41 AM   #1
Newbie
 
Joined: Apr 2013

Posts: 11
Thanks: 0

Functions of many variables

1. Find all limit points of sets in :











2. Check the existance (and calculate if possible) both limits of iterated functions in point for:



, where is a Dirichlet function.

3. Judge if function



for









is continuous.

Thank you.
Thy-Duang is offline  
 
May 12th, 2013, 10:13 AM   #2
Newbie
 
Joined: Apr 2013

Posts: 11
Thanks: 0

Re: Some topology

sorry about the title, was thinking about something different and made a mistake.
Thy-Duang is offline  
May 12th, 2013, 10:15 AM   #3
Senior Member
 
MarkFL's Avatar
 
Joined: Jul 2010
From: St. Augustine, FL., U.S.A.'s oldest city

Posts: 12,211
Thanks: 521

Math Focus: Calculus/ODEs
Re: Some topology

To what would you like the title to be changed?
MarkFL is offline  
May 12th, 2013, 10:49 AM   #4
Newbie
 
Joined: Apr 2013

Posts: 11
Thanks: 0

Re: Some topology

Functions of many variables comes to my mind.
Thy-Duang is offline  
May 12th, 2013, 10:57 AM   #5
Senior Member
 
MarkFL's Avatar
 
Joined: Jul 2010
From: St. Augustine, FL., U.S.A.'s oldest city

Posts: 12,211
Thanks: 521

Math Focus: Calculus/ODEs
Re: Some topology

Quote:
Originally Posted by Thy-Duang
Functions of many variables comes to my mind.
The title has been changed.
MarkFL is offline  
May 12th, 2013, 11:00 AM   #6
Newbie
 
Joined: Apr 2013

Posts: 11
Thanks: 0

Re: Functions of many variables

Thanks a lot.
Thy-Duang is offline  
May 12th, 2013, 03:17 PM   #7
Senior Member
 
Joined: Aug 2012

Posts: 2,329
Thanks: 720

Re: Functions of many variables

Quote:
Originally Posted by Thy-Duang
1. Find all limit points of sets in :


Can you do this one? If not, where are you stuck?

Can you do this problem in one dimension? What are the limit points in of

Maschke is offline  
May 12th, 2013, 11:37 PM   #8
Newbie
 
Joined: Apr 2013

Posts: 11
Thanks: 0

Re: Functions of many variables

It's obvious, but don't know how to prove obvious things.
Thy-Duang is offline  
May 12th, 2013, 11:45 PM   #9
Math Team
 
agentredlum's Avatar
 
Joined: Jul 2011
From: North America, 42nd parallel

Posts: 3,372
Thanks: 233

Re: Functions of many variables

Quote:
Originally Posted by Thy-Duang
It's obvious, but don't know how to prove obvious things.
I have the same problem but was never able to articulate it as nicely as you have, so thank you.

Pardon the interuption, i have no idea how to proceed but your questions are fascinating...

agentredlum is offline  
May 13th, 2013, 12:36 AM   #10
Newbie
 
Joined: Apr 2013

Posts: 11
Thanks: 0

Re: Functions of many variables

Okay, I've an idea:
The sequence that converges to is a constant sequence if , else where gives first digits of
Thy-Duang is offline  
Reply

  My Math Forum > College Math Forum > Real Analysis

Tags
functions, variables



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Optimizing Functions of Several Variables tto1994 Calculus 1 March 8th, 2014 08:30 PM
functions with multiple variables gelatine1 Algebra 2 August 9th, 2013 02:01 AM
2 variables with 2 trig functions PhizKid Trigonometry 4 January 31st, 2013 08:46 AM
Curve, Functions of Two variables token22 Real Analysis 1 September 26th, 2011 11:38 AM
Functions of Random Variables techie99 Advanced Statistics 0 October 6th, 2009 05:35 PM





Copyright © 2019 My Math Forum. All rights reserved.