(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Is it possible to have a sequence that contains subsequences converge to every point in the infinite set {1, 1/2, 1/3,...}? If possible, then give an example; if not, give an argument.

2. Relevant equations

3. The attempt at a solution

I don't think it's possible. But I don't know how to argue that.

Any help is appreciated!

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Subsequences that converge to different values

**Physics Forums | Science Articles, Homework Help, Discussion**