I have a charger that says tapering charge on the front of it. Is that good?

"Tapering Charge" could be a way to make a dumb charger sound smarter than it is.  Once upon a time (20+ years or more ago) all chargers were "tapering charge".  This means they put out a fixed voltage with current limiting and the battery charged to that voltage.  

There are some problems with this type of charging:-

1. The current flowing into the battery gets less and less as it gets closer to full charge ("tapering").

2. The time it takes to charge is extended due to the tapering and less and less current going into it.

3. To compensate for the slow charging they increase the voltage to a level that can be detrimental to the battery.

4. So you have to turn off the charger once the battery is charged so you don't boil it or create bubbles in a gel battery.

Back in "those" days all batteries were lead acid so a little boiling actually did good.  Those voltages can damage modern batteries.

"Smart" battery chargers use a higher voltage at first to force a charge in while the battery voltage is low and the high voltage won't harm it.  They then lower the voltage as the battery gets to a voltage where the forcing voltage could harm it.   And finally once it is fully charged the voltage is lowered to a resting level that will maintain full charge without stressing the battery.

So if you use your "tapering" charger you should monitor battery voltage. If you are charging lead-acid, disconnect the battery charger when the voltage gets around 14.8 to 15 volts.  If you are charging any other type do not allow the voltage to remain above 14.2 for more than a few minutes.

so get rid of it and buy new one in other words?