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avatar+126 

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 $f(x)$?

 Jul 25, 2020
 #1
avatar+37159 
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Can anyone else read this latex?

 Jul 25, 2020
 #3
avatar+126 
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Sorry,,, \(f(x) = \left\lceil\dfrac{1}{x+2}\right\rceil$ for $x > -2$, and $f(x) = \left\lfloor\dfrac{1}{x+2}\right\rfloor$ for $x < -2$. ($f(x)$ is not defined at $x = -2\)

uvacowdo  Jul 28, 2020
 #2
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let me try to read

 Jul 25, 2020

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