A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
Find lim as x approaches to positive infinity for x^5/e^5x.
anonymous
 4 years ago
Find lim as x approaches to positive infinity for x^5/e^5x.

This Question is Closed

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0The answer is 0, though.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0This is an indeterminate form, so you need to use l'Hospital 5 times. An exponential function will beat out a polynomial eventually.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Basically, the polynomial eventually will become a constant, while the exponential function will remain an exponential function. That leaves you with a constant divided by infinity... which is 0.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Notice that the polynomial's 5th derivative is constant, but the denominator's derivative continues to increase.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Thank you, guys. I didn't do up to 5th derivative, that's why I was confused.
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.