My girlfriend and I both have ASUS MeMo Pad. Nice tablet, but battery is quite problem and issue. You can not fully discharge, because battery and charger loose their minds and can not charge and power it back, If charged, you can not leave it plugged in either, since it is not good for the battery. Our first tablet died, was within warranty, ASUS fixed it, provided some half-ass explanation, it was horrible experience with ASUS, never ASUS product again. It is working, but charging is very , very slow.
Our second tablet died, too. Followed instructions as posted above, opened tablet, disconnected battery, reconnected back after 15 minutes, then plugged back in slow USB charge (laptop USB port), showing some sign of life, flashed red battery sign on the screen when plugged in.
You can see on You Tube video how to do all that.
Soon after plugged in regular charger, showed charging, and after couple of hours I was able to power it up, it was working.
this does fix mentioned problem, but count that this tablet was not designed to be opened by average user, so it is defective product