A neutron star does not evolve. It just cools down by emitting radiation. So, left to itself, it would never “die”, just become colder and colder. read more
So, again theoretically, it is possible that at some point the rotation od such a neutron star becomes too slow to stabilise it and the star collapses. In both cases the collapse would probably lead to a black hole. Probably, because there could be some additional stable states between a neutron star and a black hole, for example Quark star. read more
A neutron star will gradually get dimmer, as it cools down. If it gathers enough mass from its surroundings, it may turn into a black hole.\n A neutron star may be considered "already dead"; it has stopped producing energy. A neutron star will gradually get dimmer, as it cools down. read more
So what happens when a neutron star reaches the TOV limit. Unlike a white dwarf, when a neutron star reaches its mass limit, it will not completely annihilate itself, leaving nothing behind. When a neutron star reaches its mass limit, it leaves behind a black hole. read more