I was using the Hannspree HZ281HPB monitor at the time with a resolution of 1920x1200. At ultra settings, the 780 managed to deliver around 45-60 FPS, which at the time was great. Below is a video I recorded in June 2013.
Now, in 2017 after my most recent PC upgrade, I decided to revisit Battlefield 3 to see how it will perform on my new machine.
Here are the main components -
Intel Core i7-6700K
MSI Z170A GAMING
G.Skill Ripjaws 32GB (2 x 16GB) DDR4-2400 Memory
MSI GeForce GTX 1080 8GB GAMING X 8G Video Card
Asus ROG SWIFT PG278Q 27.0" 2560x1440 144Hz Monitor
Here is a link for the full specification - https://pcpartpicker.com/b/c97Pxr
Unsurprisingly, Battlefield 3 on ultra settings ran like a charm. The frame rate barely ever dipped before 100FPS at a resolution of 2560x1440. Combined with GSYNC, it was a great experience.
I intend to do the same kind of comparison with Battlefield 4.