Answer
$2$
Work Step by Step
$\lim _{x\rightarrow 2}\dfrac {x^{2}-4}{x^{2}-2x}
\\=\lim _{x\rightarrow 2}\dfrac {\left( x-2\right) \left( x+2\right) }{x\left( x-2\right) }$
Cancel out the common factor:
$=\lim _{x\rightarrow 2}\dfrac {x+2}{x}
\\=\dfrac {2+2}{2}
\\=2$
