I had same problem, Facebook App would open then close immediately. I found I had run out of disk storage, and I guess Facebook app got corrupted. I deleted the Facebook app, made more disk space by deleting apps I dont use, then downloaded it again for free from the app store. All fixed, working well. I am thinking that trying to save photos when I was out of disk storage space, and Facebook was running in background, somehow allowed Facebook to get corrupted, not sure. But, deleting the Facebook app and reinstalling worked great. I have an iPad3 with 32GB memory.