1. $$\lim\_{x\to 1^+}\frac{\sqrt{2x}(x-1)}{|x-1|}$$
2. $$\lim\_{x\to 1^-}\frac{\sqrt{2x}(x-1)}{|x-1|}$$

I know how to find one-sided limits graphically, but not algebraically. There's gonna be 1 answer for each problem, I believe.