Might help if you write the function as 1 + 1/(x-1) and go from there.
How would I show that lim as x goes to 1 of x/(x-1) does not exist, using a rigorous proof?
I am a little confused since this function neither tends to -infinity or infinity (at least not that I think it does). I started off by proving this fact, but it turns out that I don't think it is getting me anywhere. Any suggestions?