For curiosity and entertainments sake, I would recommend anybody to read Isaac Asimov's "The Last Question". It can be read under 15 minutes and it a entertaining read on this subject and entropy in general.
However for serious arguments sake, the whole problem in this question is "definition of life" itself. However even if we consider that heat death is inevitable and that we are assuming human beings to be around then. Then there are way bigger threats to our future than the heat death of the universe.
However for serious arguments sake, the whole problem in this question is "definition of life" itself. However even if we consider that heat death is inevitable and that we are assuming human beings to be around then. Then there are way bigger threats to our future than the heat death of the universe.