al formulas wherein R.sup.1 is an alkyl group containing from about 7 to about 10 carbon atoms and R.sup.2 contains from about 4 to about 5 carbon atoms.Preferred bleach activators of type b) are those wherein R.sub.2, R.sub.3, R.sub.4, and R.sub.5 are H and R.sub.1 is a phenyl group.The preferred acyl moieties of said N-acyl caprolactam bleach activators of type c) have the formula R.sup.6 --CO--