Running jumpers from an engine battery being charged by an alternator sometimes also works. This has to be done very carefully, with heavy cables, because it is almost like hooking up a short circuit, you can expect major sparking on the final connection, enough to explode any hydrogen gas that might be venting from either battery.
This is worked around up here in the frozen North by connecting the last connection, the (-) phase to the vehicle frame where no concentrated gas would be present. Removal of jumper cables is exactly the reverse. My own experience from personal jumper cable use and my stint as a mobile charging service is that explosions from hydrogen gas are more a myth than based on any science but it doesn't cost anything to be careful. I did find that a frozen battery with 200 amps instantly supplied may erupt in an acid geyser if the cell caps are removed.
If the OP can, or has, removed the battery for maintenance, he could take it to an auto parts retailer for load testing. Most stores now offer this service.