Acid may leak from the battery at the cable connections, resulting in corrosion on the battery cable ends and in the battery tray. A Leaking battery should be replaced and the cables thoroughly cleaned or replaced if necessary.
Car Problem Reports
Chevrolet Tahoe Corrosion on Battery Cable Ends
Chevrolet Tahoe Problem
Visitor, 2001 Chevrolet Tahoe, 98,000 mi
every Tahoe I have ever owned had battery issues, but I did get a larger alternator, larger battery and much better cables solved my problem. my Tahoe was special ordered, got a lot of extras on this model, still use it today, its better than a tank.