[NewHampshireDuo]

....eventually rechargeable batteries will not recharge any longer.

Sort of like if whenever you fill your gas tank it gets a tiny bit smaller. Eventually you don't go very far on a fill.

[HartleyMBaldwin]

whenever you fill your gas tank it gets a tiny bit smaller

No, gas tanks are getting bigger. I never used to be able to get $30 worth in my car even if it was running on fumes.