The Gateway to Computer Science Excellence
First time here? Checkout the FAQ!
x
+3 votes
72 views

Let $\left\{a_{n}\right\}$ be a sequence of real numbers such that $|a_{n+1}-a_{n}|\leq \frac{n^{2}}{2^{n}}$ for all $n \in \mathbb{N}$. Then

  1. The sequence $\left\{a_{n}\right\}$ may be unbounded.
  2. The sequence $\left\{a_{n}\right\}$ is bounded but may not converge.
  3. The sequence $\left\{a_{n}\right\}$ has exactly two limit points.
  4. The sequence $\left\{a_{n}\right\}$ is convergent.
asked in Set Theory & Algebra by Boss (29.5k points) | 72 views

Please log in or register to answer this question.

Related questions

Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true
49,808 questions
54,481 answers
188,249 comments
74,526 users