It's funny but there is a chance still, though I don't think we'll make it. Yes we have tough fixtures, but even if we get 1 draw and 1 loss from the arsenal and Spurs games, beat Palace and lets say draw away to Southampton, that's us on 70 points.
Liverpool have 2 tough away games to Watford and West Ham, a tough home game against Southampton (they usually struggle), and then an easy win vs Middlesbrough (probably). A lot depends on the monday result, but if they lose that, then they'll get very nervous. Problem is that we've let Arsenal in with a chance to go ahead of us now, and with them in the fa cup final, they'll probably take that chance. Could yet come down to goal differential between Liverpool, us and Arsenal (which we'll lose out on again), while City's fixtures are probably easy enough to get them 3rd.