clip+ not turning on

I think I have this problem with my 4GB Clip.  A couple months ago it started shutting off after the flower logo at startup.  The problem was initially so infrequent that I thought it just got a bad file.  I deleted the files I had recently loaded and the problem seemed to go away.

Now, however, it is back with a vengeance.  The Clip shuts off every time I turned it on and I had to reset it first in order to use it at all.  Sadly, it seems to have finally died.  Resetting it no longer works as a temporary fix and most times I can’t even get a flower logo out of it.  The Clip is also totally unresponsive to being plugged into a PC, so I can’t format it or change the firmware.

I originally thought that the battery had just worn out, but it still shows a half charge for the split second before it dies, and there is no LOW BATTERY warning.

Any thoughts?  Should I be looking for a new Clip?