Dead MacBook Pro Battery?

Is there a way to confirm that I simply have a dead battery in a MacBook Pro? The following is the data from the /About This Mac/More Info/Hardware/Power screen.

Battery Information:

Model Information:
Serial Number: Sony-ASMB012*
Device name: ASMB012
Pack Lot Code: 0003
PCB Lot Code: 0000
Firmware Version: 102a
Hardware Revision: 0400
Cell Revision: 0303
Charge Information:
Charge remaining (mAh): 0
Fully charged: No
Charging: No
Full charge capacity (mAh): 0
Health Information:
Cycle count: 51
Condition: Check Battery
Battery Installed: Yes
Amperage (mA): 0
Voltage (mV): 8982

The PowerBook does not get "extensive" use, and has occasionally been fully discharged while sleeping.

I have two of these machines and have swapped the battery between the two -- one battery works fine in both machines, the one displaying the above stated issue has the same no recharge performance in both machines.

There has never been any unusual battery behavior prior to this "dead" condition, and was working and charging just fine less than a week before death.

Just replace with a new battery, or is there a diagnostic or reset that should be run prior to simply giving up on the battery?

Thanks for any insights.

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