A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
Let f be a continuous and bounded function on [a,b] such that if
anonymous
 3 years ago
Let f be a continuous and bounded function on [a,b] such that if

This Question is Closed

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0not really,but it kind of looks like a set up for integrating by parts

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0F'(x)=f(x) so we can say F'(t)=f(t) right..

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0that is what i was thinking, yes

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0maybe not exactly what you want, but you would get something like \(gF\int f g'\)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[\lim_{b \rightarrow} \int\limits_{0}^{b }G(t)F'(t)dt=\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I guess enough to show that \[\int\limits f g'\] is convergent

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0first part is no problem, since \(\lim_{t\to \infty}g(t)=0\) and \(\int_a^\infty f(t)\) is bounded

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0yeah you hit the nail on the head, and frankly i don't see why that is true, so this might be the wrong approach

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0because all you know about \(g'\) is that \(g'\leq 0\)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0does this come in a section after some theorem or lemma that maybe you are supposed to use?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0no, this is homework, but prof gave the hint and said that you should use integration by part..

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0well then i guess this is the right approach!
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.