Having definite limits.
Her ambitions were infinite, but her wealth was finite.
It came as a shock to America in the early 1970s to realize that world and national resources were finite rather than unlimited. The debate continues as to whether the universe is finite or infinite and, if it is finite, how to think about what lies beyond it. Religion has always concerned itself with the question of the finite (that is, human life on earth) versus the infinite (God, eternity, and infinity). But finite is mostly used in scientific writing, often with the meaning "definitely measurable."