Is the Infimum of Set A Equal to Zero?

[The Captain]

Homework Statement

Suppose A={$$\frac{1}{1}$$,$$\frac{1}{2}$$,...}={$$\frac{1}{n}$$|n$$\in{Z^+}$$}

Homework Equations

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?

 

[jgens]

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