Re: go to do/go and do/go do
They all sound fine to me and mean pretty much the same thing. Whatever differences there are between them are in emphasis only and are in any case so minor that I doubt if I could explain them even to myself.
And I agree that "I'll go to check the book" is fine. I can't even imagine what might be wrong with it. There, at least, the emphasis is fairly easy to explain: This structure would be used if there was a specific book known to both the speaker and his listeners that needed to be checked and if the speaker needed to go somewhere - to the library, to another room - to check it.
Edit: Upon reading the three examples again, I'm going to retract "the emphasis is fairly easy to explain" regarding sentence #2 - because it's not. I was wrong about that. So I'm going back to my earlier statement that the differences are so slight that they're almost impossible to explain.
Last edited by JustKate; 13th August 2012 at 3:55 PM.
"If you take hyphens seriously, you will surely go mad" - Oxford University Press style manual