Yes. Limits are based on same kind of athletics races distances. We took as well in consideration specific elements for this kind of events:
Spartan Sprint: 16-99 years old
Spartan Super: 16-99 years old
Spartan Beast: 18-99 years old
In any case you should be sure of your health and abilities to participate in this kind of event. A medical certificate will be ask but you must be aware of your own responsibility.