# Simple Proof

## Homework Statement

Let X={1/n: n$\in$N} (where N is the set of natural numbers)
i) Does inf(X) exist?
ii) What is inf(X)?

## The Attempt at a Solution

I think I should try to prove inf(X) exists by considering it a Lower Limit, but I don't know how to go about doing that. Any help would be appreciated!