Electric field due to an infinite sheet of charge is d2ε everywhere . it is independent of the distance x ...
this can be found using gauss law considering a cylindical gaussian surface passing through the sheet of length x on both sides of the sheet ...
since electric field is perpendicular to the sheet of charge everywhere
E.dS will be zero for the surface area .. it exists only over the two sides of the cylinder and charge enclosed is dÎ r2 that is
E2Πr2=dΠr2ε so we get E=d2ε