Is there a maximum amount of times you can recharge your nano using a computer?

Question

And if you use up all the charges what do you do?

Answer 1

There is, but the battery will likely last for hundreds of charges. You will slowly be losing the battery life in the mean time. When the battery dies, you'll have to replace it, or by a new nano. But barring any unforeseen circumstances, it'll be a few years before you'll worry about that.

Answer 2

yes there is but it does not tell you exact amount