Math Help - question about a continuous function

1. question about a continuous function

What should be the value of A, so that the following function is continuous at x = 2 ?

f(x)= (x-2)/(x^2-4), when x≠2
f(x)= A, when x=2

2. If $x\not=2$ then $\dfrac{x-2}{x^2-4}=\dfrac{1}{x+2}$.