b)
\( \sqrt{\frac{x^{2}-x}{2x^{2}-2}} \)
\( \sqrt{\frac{x(x-1)}{2(x^{2}-1)}} \)
\( \sqrt{\frac{x(x-1)}{2(x+1)(x-1)}} \)
\( \sqrt{\frac{x}{2(x+1)}} \)
\( \frac{1}{2}\sqrt{2}\cdot\sqrt{\frac{x}{(x+1)}} \)
\( \lim\limits_{x\to1}\frac{1}{2}\sqrt{2}\cdot\sqrt{\frac{x}{(x+1)}}=\frac{1}{2}\sqrt{2}\cdot\sqrt{\frac{1}{2}}=\frac{1}{2}\)