The problem is it's rather hard, if not impossible, to put it concisely one way or another because the languages differ. Everything will die: stars, planets, planetary life, ..., bacteria, ..., chemical bonds, ..., [insert small thing]. But how small do we go? How do we define existance? Herein lies the problems and seeming paradoxical nature of the question. Moreover, assuming that the universe will "die out" is presupposing a number of things about the birth, nature of, composition of, behavior of, etc, of the universe itself.
One interesting way to look at things is through the second law of thermodynamics. You know, the one with that wierd word: "entropy", meaning "disorder". To wit: entropy always increases. Or, in other words, you can't win (old thermo joke). Of interest here is the basis of the most theoretical of physics, that of the initial spacetime singularity (the big bang) and its relation to the Weyl curvature hypothesis and a necessary time-asymmetric quantized theory of gravity. In other words, this shit is, like, all-encompassing. They just don't tell you that 'cause they don't know much and it's connected to so many other topics/concepts/ideas/laws/everything, lol.