2.1 Q-10

Q10. ${\lim }_{x\to 0}\left(x-\frac{1}{x-2}\right)$.

\section*{Solution:} $\begin{array}{rl}& \underset{x\to 0}{\lim }\left(x-\frac{1}{x-2}\right)\\ & =\left(0-\frac{1}{0-2}\right).\\ & =0-\frac{1}{-2}.\\ & =\frac{1}{2}\end{array}$