Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
kimmy0394
Group Title
Suppose {an} is a sequence that converges to a number
L > 0.
What is the limit of {an + 1}?
 one year ago
 one year ago
kimmy0394 Group Title
Suppose {an} is a sequence that converges to a number L > 0. What is the limit of {an + 1}?
 one year ago
 one year ago

This Question is Closed

KingGeorge Group TitleBest ResponseYou've already chosen the best response.1
Since 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?
 one year ago

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

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

terenzreignz Group TitleBest ResponseYou've already chosen the best response.0
Hey, @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?
 one year ago
See more questions >>>
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.