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Any Analysis Geniuses Around?
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Junior Member
Join Date: Jun 2003
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Hey All,
I'm having trouble with this question, and seeing how there are a lot of smart people here I'd see if anyone around here had any ideas.
Here's the question:
Of course, it should be "Prove that if any ... then lim f(x)=0 [as x goes to infinity]
Any suggestions or help?
Thanks,
Greg
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Mac Elite
Join Date: Nov 2003
Location: New Haven CT.
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I suggest another forum...
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Professional Poster
Join Date: Oct 2000
Location: France
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Mac Elite
Join Date: Oct 2000
Location: Amboy Navada, Canadia.
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It's five. It's always five.
http://www.ology.org/principia/body.html (search "fives")
(btw, there are forums online for math questions, along with math expert forums. Asking mac users math questions is like asking linux users questions on interior decorating, a few might figure it out but most will just make jokes).
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This insanity brought to you by:
The French CBC, driving antenna users mad since 1937.
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Grizzled Veteran
Join Date: May 2002
Location: Michigan, USA
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Just copy and paste it into Mathematica.
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Addicted to MacNN
Join Date: Dec 1999
Location: Tampa, Florida
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People, people,
If any one else comes with a math question, I will have to start charging money.
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Junior Member
Join Date: Jun 2003
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Well, I figured it was worth a shot.
I never had much hope for you all anyway ;-)
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Mac Elite
Join Date: Nov 2003
Location: New Haven CT.
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yeah loose all expectations of any of us right now, and you will be ahead of the game. 
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Professional Poster
Join Date: Jul 2003
Location: Canada
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Mac Elite
Join Date: Sep 2004
Location: Theory - everything works in theory
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Originally posted by realmeatychunks:
Hey All,
I'm having trouble with this question, and seeing how there are a lot of smart people here I'd see if anyone around here had any ideas.
Here's the question:
[img]http://expressexcess.com/analysis.jpg[img]
....
[Removed inline image: ALL inline images must be no wider than 500 pixels. --tooki]
I'm not an analysis genius, but I might be able to help. What was it that you were asked to prove?
(Last edited by tooki; Nov 23, 2004 at 08:31 AM.
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Junior Member
Join Date: Jun 2003
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Originally posted by E's Lil Theorem:
I'm not an analysis genius, but I might be able to help. What was it that you were asked to prove?
I've uploaded the image again.
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Mac Elite
Join Date: Sep 2004
Location: Theory - everything works in theory
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Originally posted by realmeatychunks:
I've uploaded the image again.
All right, nifty. Are you following the hint? You should be. Where are you stuck?
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Junior Member
Join Date: Jun 2003
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Originally posted by E's Lil Theorem:
All right, nifty. Are you following the hint? You should be. Where are you stuck?
I've got the solution, thanks. Just need to digest it a bit to actually understand what it's saying. I find analysis so abstract and difficult to grasp, especially compared to calculus which comes pretty easily to me.
Take care,
Greg
edit: English certainly doesn't though ;-)
(Last edited by realmeatychunks; Nov 22, 2004 at 10:04 PM.
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Mac Elite
Join Date: Oct 2004
Location: Neither Here Nor There
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Originally posted by realmeatychunks:
I find analysis so abstract and difficult to grasp, especially compared to calculus which comes pretty easy to me.
I got a C in Analysis 
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Junior Member
Join Date: Jun 2003
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Originally posted by Albert Pujols:
I got a C in Analysis
Well do you have any advice in retrospect? I'm also doing poorly, but taking measures to do really well on the final (I hope).
Greg
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Mac Elite
Join Date: Sep 2004
Location: Theory - everything works in theory
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Originally posted by realmeatychunks:
Well do you have any advice in retrospect? I'm also doing poorly, but taking measures to do really well on the final (I hope).
Greg
My negative math experience comes from Abstract Algebra. I really, really disliked that class even though I liked many of it's applications (number theory, cryptography, etc.). How did I get through it? It was one of the only classes for which I attended office hours and did every single HW assignment (and sometimes more). It didn't come naturally to me, but eventually I became "book-smart" at it. So, if you have the time, work on more problems than those assigned and when you get stuck visit your professor.
Good luck.
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Admin Emeritus 
Join Date: Oct 2000
Location: Boston, MA
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Originally posted by realmeatychunks:
Well do you have any advice in retrospect? I'm also doing poorly, but taking measures to do really well on the final (I hope).
Greg
I got a B+ in the class. I would have done better if I made some realizations earlier. What book are you using, Rudin?
I figured out far too late that you're supposed to read the book /well/ before you do the problem set.  It sounds obvious, but it wasn't to me.
If you're using Rudin definitely read and own every single character of that book. Make sure you digest every paragraph before you think about moving on. Don't assume you'll go back and reread it later.
Math problems take a while to digest; start them as soon as you're assigned them by reading them over and the related material. Let them sit in your system for a while before you work on them. The subconscious plays an interesting role in solving problems.
I was on freshman pass/fail so I didn't give a **** about my grade, but in retrospect I wish I would've. Although I probably will never need analysis, it's a totally sweet subject. I might reread Rudin this summer.
Good luck! Hope you do well!
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"Against stupidity, the gods themselves contend in vain" (Schiller)
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Mac Elite
Join Date: Mar 2001
Location: Minneapolis, MN
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That was about 8 years ago. I wouldn't know where to start now.
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Mac Elite
Join Date: Jan 2002
Location: Live at the BBQ
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...uhh, wanna do my taxes?
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"Bill Gates can't guarantee Windows... how can you guarantee my safety?"
-John Crichton
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Junior Member
Join Date: Jun 2003
Status:
Offline
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Originally posted by parallax:
I got a B+ in the class. I would have done better if I made some realizations earlier. What book are you using, Rudin?
I figured out far too late that you're supposed to read the book /well/ before you do the problem set.  It sounds obvious, but it wasn't to me.
If you're using Rudin definitely read and own every single character of that book. Make sure you digest every paragraph before you think about moving on. Don't assume you'll go back and reread it later.
Math problems take a while to digest; start them as soon as you're assigned them by reading them over and the related material. Let them sit in your system for a while before you work on them. The subconscious plays an interesting role in solving problems.
I was on freshman pass/fail so I didn't give a **** about my grade, but in retrospect I wish I would've. Although I probably will never need analysis, it's a totally sweet subject. I might reread Rudin this summer.
Good luck! Hope you do well!
Thanks for the advice -- I've often hoped I could start the problem sets earlier, but unfortunately I usually have such a large list of assignments they just get pushed back in the queue. What you've said certainly rings true though, as it gives more time to seek out help for difficult problems (whether it be peers or the professors office hours or whatever).
The book we're using is "Real Analysis: A first Course" by Russell A. Gordon. I can't say I'm entirely thrilled by it. The proofs and examples that are actually included seem to be relatively easy to understand and digest, but there are so many things "left as an exercise to the reader" that I would have really benefited from if they were included. It'll be right in the middle of a proof that I'm struggling to understand and then something seemingly appears out of no where and "it's left as an exercise to the reader to prove this". Frustrating, to say the least.
My negative math experience comes from Abstract Algebra. I really, really disliked that class even though I liked many of it's applications (number theory, cryptography, etc.). How did I get through it? It was one of the only classes for which I attended office hours and did every single HW assignment (and sometimes more). It didn't come naturally to me, but eventually I became "book-smart" at it. So, if you have the time, work on more problems than those assigned and when you get stuck visit your professor.
Good luck.
I'm taking abstract algebra as well. I can't say I'm really enjoying that class either. This semester has really discouraged me from math, I used to really love it and enjoy it, but perhaps I only felt that way because I was only really exposed to Calculus and Differential Equations.
Thanks to all who offered advice, it is much appreciated.
Take Care,
Greg
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Professional Poster
Join Date: Jun 2003
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Originally posted by realmeatychunks:

Any suggestions?
Yep. Flunk out, learn to play the guitar and become a rock/pop star instead. It's much easier than that stuff. And you get more chicks.
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