A community for students.
Here's the question you clicked on:
 0 viewing
David.Butler
 2 years ago
\int _{ \infty }^{ \infty }{ \frac { { e }^{ y } }{ { y }^{ 2 }+1 } } converges \quad or\quad diverge?
David.Butler
 2 years ago
\int _{ \infty }^{ \infty }{ \frac { { e }^{ y } }{ { y }^{ 2 }+1 } } converges \quad or\quad diverge?

This Question is Open

David.Butler
 2 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits _{ \infty }^{ \infty }{ \frac { { e }^{ y } }{ { y }^{ 2 }+1 } } converges \quad or\quad diverege? \]

Topi
 2 years ago
Best ResponseYou've already chosen the best response.0Diverges because from minus infinity to zero the expression e^y is much much larger than y^2+1. Actually because you take the integral from minus infinity to infinity this holds:\[\int\limits_{\infty}^{\infty}\frac{ e^y }{ y^2+1 }dy = \int\limits_{\infty}^{\infty}\frac{ e^y }{ y^2+1 }dy \]

gvatsa212
 one year ago
Best ResponseYou've already chosen the best response.0diverges. take simple example of \[\int\limits_{infinity}^{infinity}(e^x)dx is \not convergent. and whether you divide \it by X^2 +1 .\] that is a positive no....wont effect as we are talkin about infinity/infinty
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.