I evaluated the limit by multiplying common denominators then distributed terms so I have polynomials on top and bottom. Then derived each separately and got -6x/6x=-1 but the limit is actually -3/2. What's up with that?

. . . . .[tex]\displaystyle \lim_{x \rightarrow 2^+}\, \left(\dfrac{8}{x^2\, -\, 4}\, -\, \dfrac{x}{x\, -\, 2}\right)[/tex]

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