The　Riemann　solutions　for　the　relativistic　Euler　equations　for　generalized　Chaplygin　gas　are　considered.　It　is　rigorously　proved　that,　as　the　pressure　vanishes,　they　tend　to　the　two　kinds　of　Riemann　solutions　to　the　zeropressure　relativistic　Euler　equations,　which　include　a　delta　shock　formed　by　a　weighted　d-measure　and　a　vacuum　state.