I'm solving a limit problem that looks something like this:

lim as x-> 0 ; 1-(sqrt) 2x(sq)-1 / x-1

each time I attempt to solve this problem, I end up solving in circles and I'm uncertain what I should do. We've only learned basic things about limits and hence I'm confused as to where to start besides multiplying by the 1+ (sqrt) 2x(sq)-1 / 1+ (sqrt)2x(sq)-1. after I've done that I get something to the effect of 1-2x(sq)-1/ (x-1) (1+(sqrt)2x(sq)-1);; can someone please tell me if my math is flawed or what I should do next?