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The Chandrasekhar limit describes the maximum stable mass of a highly compressed type of star called a white dwarf - a collapsed remnant of a star towards the end of its life cycle. This mass limit is about 1.44 times the mass of the sun; above this mass, gravitational force is calculated to overcome the outward pressure and thus precipitate further collapse, for example, into a neutron star. If the neutron star is of sufficient mass it may yet again collapse further, into more exotic states including possibly a black hole. Note that the mass limit of a neutron star (the Tollman-Oppenheimer-Volkoff limit) of around 3-4 solar masses is separate and distinct from the Chandrasekhar limit - you might say that the Chandrasekhar limit is just one of the mass limits along the stellar remnant's evolution into a black hole.

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