Answer:a. 0.25Step-by-step explanation:The given expression is [tex]\lim_{x \to 2} \frac{x-2}{x^2-4}[/tex]Factor the denominator using difference of two squares.[tex]\lim_{x \to 2} \frac{x-2}{(x-2)(x+2)}[/tex]Cancel out common factors;[tex]\lim_{x \to 2} \frac{1}{(x+2)}[/tex]We plug in 2 to get[tex]\lim_{x \to 2} \frac{1}{(x+2)}=\frac{1}{2+2}[/tex][tex]\lim_{x \to 2} \frac{1}{(x+2)}=\frac{1}{4}=0.25[/tex]