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Let $f(x) = \left\lceil\dfrac{1}{x+2}\right\rceil$ for $x > -2$, and  $f(x) = \left\lfloor\dfrac{1}{x+2}\right\rfloor$for $x < -2$. ( $f(x)$ is not defined at $x = -2$.) Which integer is not in the range of $f(x)$?