The converter charging is not the best in my rig's case. I would have to change my converter and/or add the battery conditioner to recharge the batteries properly.
I must mention that I park my Monty at home and connect it to AC power. I use a quick disconnect (
http://www.campingworld.com/shopping...ty-switch/1461) to isolate my dual batteries and then I use a Battery Minder (
http://www.pacificbattery.com/batteryminder.html) connected to an RV outlet which then connects to the posts on the isolated batteries to keep them recharged and conditioned properly. By using the disconnect I can leave the battery minder permanently connected. Then about every 2-3 weeks I use one of these automatic pump systems to keep the batteries topped off:
http://www.campingworld.com/shopping...l-systems/4592
I will try and post a picture tomorrow.
When I am get ready for a trip, I check the battery's water level, unplug the Battery minder from the outlet, disconnect it from the battery posts and reconnect the batteries to the RV. This has been working fine for me for over 18 months - no more run down batteries, no more problems because they are dry and best of all, no failures.
If you cannot use a Battery minder running off a 110v outlet, there are ways to set up solar panels on your RV roof and along with the battery charger/conditioners use this type of system to keep your batteries at their best, but you must still find a way to check the water levels to ensure they are not getting dried out.
I am sure other members will come up with easier or fancier ways to keep your batteries at their best.
On edit: The risk of leaving the battery in the RV while connected to shore power is that the battery can get overcharged, causing damage to the plates (destroying your battery), especially if the charging system is not "intelligent" enough to detect when to stop charging. The charging process can also cause the water level to drop over time, hence the need to check the battery levels periodically (at least once a month, I think).