How might a renewable energy source become non renewable?

A renewable energy source might become non renewable due to the fact that since it's using energy, overtime, all of that energy will die out and leading to the crisis of finding a new energy source.

If you use up renewable resources faster than you can reproduce then they will become non-renewable. They need time to be able to go through there cycle. If they do not go through the cycle then it is broken.

I’m pretty sure it’s false i’m not sure