Continuity

Calculus Level 1

Let f(x)={x2x2x2if x2aif x=2.f(x) = \left\{ \begin{array}{ll} \frac{x^2-x-2}{x-2} & \mbox{if } x \neq 2 \\ a & \mbox{if } x = 2. \end{array} \right. If f(x)f(x) is continuous for all real values of x,x, what is a?a?

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