Question
Find:
$\lim\limits_{\text{x}\rightarrow\frac{5}{2}}[\text{x}]$

Answer

$\lim\limits_{\text{x}\rightarrow\frac52}\ [\text{x}]$
$\lim\limits_{\text{x}\rightarrow\frac{5^+}{2}}[\text{x}]=2$
$\lim\limits_{\text{x}\rightarrow\frac{5^-}{2}}[\text{x}]=2$
$\Rightarrow\lim\limits_{\text{x}\rightarrow\frac{5}{2}}\ [\text{x}]=2$

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