A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 one year ago
Suppose {an} is a sequence that converges to a number
L > 0.
What is the limit of {an + 1}?
 one year ago
Suppose {an} is a sequence that converges to a number L > 0. What is the limit of {an + 1}?

This Question is Closed

KingGeorge
 one year ago
Best ResponseYou've already chosen the best response.1Since it converges, you have that for all \(\epsilon>0\), \(La_n<\epsilon\) for all \(n>N\) for some \(N\in\mathbb{N}\). Now, we guess that \(\{a_n+1\}\) converges to \(L+1\). Look at \(L+1(a_n+1)\). What can you say about it?

kimmy0394
 one year ago
Best ResponseYou've already chosen the best response.0It's a with subscript (n+1) . I'm ask confused with your symbols

KingGeorge
 one year ago
Best ResponseYou've already chosen the best response.1Ah. So your new sequence is \(\{a_{n+1}\}\)?

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.0Hey, @kimmy0394 When you think about it \[\huge a_{n+1}\]is just the same sequence, just that it starts one step ahead of \[\huge a_n\] right?
Ask your own question
Ask a QuestionFind 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.