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

We have U = { 3n/(n+1) : n in N }

i. Prove that U is non-empty and bounded above by 3.

ii. Prove that if a is a real number with a<3, then there is an n in N such that a < 3n/(n+1)

3. The attempt at a solution

i. We can show it non-empty by saying that 3/2 is in the set since 3*1/(1+1) = 3/2, but I'm a little confused in how to prove that 3 is an upper bound, and that a is smaller than our equation. :(

I don't want answers, but hints and tips are greatly 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!

# Proving aspects of a set

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