Why does the AVC curve get closer and closer to the ATC curve without ever touching it?

Economics:
10th Edition
ISBN:9781285859460
Author:BOYES, William
Publisher:BOYES, William
Chapter22A: Appendix: The Mechanics Of Going From Production To Costs
Section: Chapter Questions
Problem 1E
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Why does the AVC curve get closer and closer to the ATC curve without ever touching it? 

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