In　this　paper　we　study　the　combined　quasineutral　and　non-relativistic　limit　of　compressible　Euler-Maxwell　equations.　For　well　prepared　initial　data　the　convergences　of　solutions　of　compressible　Euler-Maxwell　equations　to　the　solutions　of　incompressible　Euler　equations　are　justified　rigorously　by　an　analysis　of　asymptotic　expansions　and　a　careful　use　of　epsilon-weighted　Liapunov-type　functional.　One　main　ingredient　of　establishing　uniformly　a　priori　estimates　with　respect　to　epsilon　is　to　use　the　curl-div　decomposition　of　the　gradient.