Best Graphics Card for my setup

Hi guys, I’m looking to upgrade my Graphics card. I use a 40′ LED screen and would like to get the max resolution out of it. I also game. Not really heavy games (BF4, Dota2..Ect) I’m looking for a card under $200 if possible.
Thanks!
Answer #1
I’m guessing that the max resolution is not 4k but 1080p
In any case, I would recommend that you push your budget (or wait for a sale) so you can get a GTX 970
But of course, if that’s not possible, a GTX 960 would do also
Answer #2
what important is max resolution it supports , not its size. so if you tell max resolution value or tell brand and model of your monitor which we can look it for you. there will be more precise suggestions.
Answer #3
BF4 is kind of graphics intensive. There is pretty much no point in playing it with lower settings.