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## Homework Statement

I need to prove that a closed ball(radius r about x0) is closed and bounded. The same goes for a sphere(radius r about x0).

## Homework Equations

## The Attempt at a Solution

How does one go about proving something is closed and bounded? My book is not very helpful and searching hasn't yielded much. This is only a part of the problem, but the rest should be doable once I get this.