Some things should last forever and others should not be perpetuated at all. Things that should NOT be perpetuated? Ugly rumors, arms races, and your Aunt Martha's annual fruit cake.
Be careful not to confuse perpetuate with perpetrate. Although they differ in spelling by only one letter, they differ greatly in meaning. If you perpetuate something, you help it last. Perpetrate, on the other hand, means to commit a criminal act. Needless to say, you wouldn't want to perpetuate the acts of perpetrators!