Of course it's very normal to see that Arsenal still believes they have a chance of catching up with Liverpool which one is why they're still fighting to win games and hope the league leaders drop points. That said, I don't think it'll be possible for Arsenal to win the league this season after they dropped five points in their last two games. Mikel Arteta I think should try and sign a world class striker in the summer so he won't be finishing as league runners-up again come next season. Arsenal fans deserves to see their club lift the UEFA Champions League trophy after 21 years of waiting. Hopefully they do better next season as I think this season title is beyond their reach already.
I don't think any chance of Arsenal to catching up Liverpool with this level of performance and difference of points currently 13 points difference Liverpool have 10 matches remaining Arsenal have 11 matches Liverpool going to face Southampton in coming game which is surely 3 points for them and Arsenal is having challenge against Manchester United at Old Trafford.
Liverpool have mostly their remaining games against weaker sides which give them better chance of having good results while Arsenal is no consistent which is their problem and their injuries issue is also having big setback for them but here we can expect them for another second spot end which could be reasonable. Manchester City is also trying to have some better end which can make things challenging because they have 7 points difference and this is surely not big with Arsenal also involved in Champions League which is big burden on their players.