An example of an emergent is a huge building that can be seen from a great distance and gets larger as you get closer.
An example of someone who would be described as emergent is a brand new author first becoming famous; an emergent author.
An example of something that would be described as emergent is the economic boom when a series of economic conditions all come together to create a particular economic climate that is primed for major growth; an emergent economy.
Economic problems emergent from the restriction of credit.
An emergent nation.