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## Homework Statement

Let X={1/n: n[itex]\in[/itex]

**N**} (where

**N**is the set of natural numbers)

i) Does inf(X) exist?

ii) What is inf(X)?

## Homework Equations

## 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!