A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
How do you determine whether a = 3^(n+2) / 5^n converges or diverges?
anonymous
 5 years ago
How do you determine whether a = 3^(n+2) / 5^n converges or diverges?

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I can't seem to take the limit of it how would you go about doing so

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you can rewrite the expression\[(a_n)=\frac{3^{(n+2)}}{5^n}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0as \[(a_n)=3^2\frac{3^n}{5^n}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you could make the argument that since \[5^n\] increases much "faster" than \[3^n\] as \[n\rightarrow \infty\] and so the the limit is zero or a little more formally set up an inequality like \[0<3^n\leq 5^n\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0divide through by \[n5^n\] and use the "squeeze/sandwich" theorem but it pretty much amounts to the same thing

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Thank you that make sense!
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.