# Prove inf(A)=0 *Practice*

1. Sep 15, 2010

### The Captain

1. The problem statement, all variables and given/known data
Suppose A={$$\frac{1}{1}$$,$$\frac{1}{2}$$,....}={$$\frac{1}{n}$$|n$$\in{Z^+}$$}

2. Relevant equations

3. The attempt at a solution
Could you take the limit of $$\frac{1}{n}$$ as $$\infty$$ to prove this, or would I go about it a different route?

2. Sep 15, 2010

### jgens

Just use the definition of an infimum. There's no need to invoke limits.