 |
mateforum.ro
|  |
| View previous topic :: View next topic |
| Author |
Message |
Bogdan Cebere
Thales
Joined: 04 Nov 2007
Posts: 145
|
 Posted: Wed May 20, 2009 8:20 pm Post subject: Limita unei integrale |
 |
|
Fie  "f:R \to (0,\infty)") o functie integrabila a.i.  dt}= \infty "\lim_{x \to \infty} {\int^x_0 f(t) dt}= \infty") . Sa se arate ca f(t)dt}}=\infty "\lim_{x \to \infty} {\frac{1}{x} \int^x_0{(x-t)f(t)dt}}=\infty") .
Gabriel Dospinescu |
|
| Back to top |
|
 |
Laurentiu Tucaa
Thales
Joined: 22 Mar 2009
Posts: 144
Location: Pitesti
|
| Posted: Mon Feb 08, 2010 7:18 pm Post subject: |
|
|
Aplicand l'Hospital rezulta ca f(t)dt}{x}=\lim_{x\to\infty} xf(x)+F(x)-xf(x)=\lim_{x\to\infty} F(x)=\infty "\lim_{x\to\infty} \frac{\int_0^x (x-t)f(t)dt}{x}=\lim_{x\to\infty} xf(x)+F(x)-xf(x)=\lim_{x\to\infty} F(x)=\infty") ,unde =\int_0^x f(t)dt "F(x)=\int_0^x f(t)dt") . |
|
| Back to top |
|
|
Marius Mainea
Gauss
Joined: 26 May 2008
Posts: 1075
Location: Gaesti (Dambovita)
|
| Posted: Mon Feb 08, 2010 7:45 pm Post subject: |
|
|
| Atentie,f este doar integrabila! |
|
| Back to top |
|
|
|
|
You cannot post new topics in this forum
You cannot reply to topics in this forum
You cannot edit your posts in this forum
You cannot delete your posts in this forum
You cannot vote in polls in this forum
|
Powered by phpBB © 2001, 2005 phpBB Group
|
FAQ 
Search 
Memberlist 
Usergroups
Register
Profile 
Log in to check your private messages 
Log in 
