이 글에 대한 AI '클로드'의 평가
(상세한 평가는 이 글 마지막에 있습니다.)
$\begin{aligned}&\lim _{x \rightarrow 3+}[x]=3 \\ &\lim _{x \rightarrow 3-}[x]=2 \\ &\lim _{x \rightarrow-3+}[x]=-3 \\ &\lim _{x \rightarrow-3_{-}}[x]=-4\end{aligned}$
$\begin{aligned} & \lim _{x \rightarrow 3^{+}} 2[x]=2 \cdot 3=6 \\ & \lim _{x \rightarrow 3^{-}} 2[x]=2 \cdot 2=4 \\ & \lim _{x \rightarrow-3^{+}} 2[x]=2 \cdot(-3)=-6 \\ & \lim _{x \rightarrow-3_{-}} 2[x]=2 \cdot(-4)=-8\end{aligned}$
$\begin{aligned} & \lim _{x \rightarrow 3+}[2 x]=6 \\ & \lim _{x \rightarrow 3-}[2 x]=5 \\ & \lim _{x \rightarrow-3+}[2 x]=-6 \\ & \lim _{x \rightarrow-3_{-}}[2 x]=-7\end{aligned}$
$\begin{aligned}&\lim _{x \rightarrow 3+}[x+1]=4 \\ &\lim _{x \rightarrow 3-}[x+1]=3 \\ &\lim _{x \rightarrow-3+}[x+1]=-2 \\ &\lim _{x \rightarrow-3-}[x+1]=-3\end{aligned}$
$\begin{aligned} & \lim _{x \rightarrow 3+} 2[x+1]=2 \cdot 4=8 \\ & \lim _{x \rightarrow 3-} 2[x+1]=2 \cdot 3=6 \\ & \lim _{x \rightarrow-3+} 2[x+1]=2 \cdot(-2)=-4 \\ & \lim _{x \rightarrow-3-} 2[x+1]=2 \cdot(-3)=-6\end{aligned}$
$\begin{aligned}&\lim _{x \rightarrow 3^{+}}[2 x+1]=7 \\ &\lim _{x \rightarrow 3_{-}}[2 x+1]=6 \\ &\lim _{x \rightarrow-3_{+}}[2 x+1]=-5 \\ &\lim _{x \rightarrow-3_{-}}[2 x+1]=-6\end{aligned}$
$\begin{aligned} & \lim _{x \rightarrow 3+}[x-1]=2 \\ & \lim _{x \rightarrow 3-}[x-1]=1 \\ & \lim _{x \rightarrow-3+}[x-1]=-4 \\ & \lim _{x \rightarrow-3-}[x-1]=-5\end{aligned}$
$\begin{aligned} & \lim _{x \rightarrow 3+} 2[x-1]=2 \cdot 2=4 \\ & \lim _{x \rightarrow 3-} 2[x-1]=2 \cdot 1=2 \\ & \lim _{x \rightarrow-3+} 2[x-1]=2 \cdot(-4)=-8 \\ & \lim _{x \rightarrow-3-} 2[x-1]=2 \cdot(-5)=-10\end{aligned}$
$\begin{aligned} & \lim _{x \rightarrow 3^{+}}[2 x-1]=5 \\ & \lim _{x \rightarrow 3^{-}}[2 x-1]=4 \\ & \lim _{x \rightarrow-3^{+}}[2 x-1]=-7 \\ & \lim _{x \rightarrow-3^{-}}[2 x-1]=-8\end{aligned}$
$\begin{aligned} & \lim _{x \rightarrow 3+}\left[x^2\right]=9 \\ & \lim _{x \rightarrow 3-}\left[x^2\right]=8 \\ & \lim _{x \rightarrow-3+}\left[x^2\right]=8 \\ & \lim _{x \rightarrow-3^{-}}\left[x^2\right]=9\end{aligned}$
$\begin{aligned} & \lim _{x \rightarrow 3+} 2[x^2]=2 \cdot 9=18 \\ & \lim _{x \rightarrow 3-} 2[x^2]=2 \cdot 8=16 \\ & \lim _{x \rightarrow-3+} 2[x^2]=2 \cdot 8=16 \\ & \lim _{x \rightarrow-3-} 2[x^2]=2 \cdot 9=18\end{aligned}$
$\begin{aligned}&\lim _{x \rightarrow 3^{+}}\left[2 x^2\right]=18 \\ &\lim _{x \rightarrow 3^{-}}\left[2 x^2\right]=17 \\ &\lim _{x \rightarrow-3^{+}}\left[2 x^2\right]=17 \\ &\lim _{x \rightarrow-3^{-}}\left[2 x^2\right]=18\end{aligned}$
$\begin{aligned} & \lim _{x \rightarrow 3+}\left[x^2+1\right]=10 \\ & \lim _{x \rightarrow 3^{-}}\left[x^2+1\right]=9 \\ & \lim _{x \rightarrow-3+}\left[x^2+1\right]=9 \\ & \lim _{x \rightarrow-3^{-}}\left[x^2+1\right]=10\end{aligned}$
$\begin{aligned} & \lim _{x \rightarrow 3+} 2[x^2+1]=2 \cdot 10=20 \\ & \lim _{x \rightarrow 3-} 2[x^2+1]=2 \cdot 9=18 \\ & \lim _{x \rightarrow-3+} 2[x^2+1]=2 \cdot 9=18 \\ & \lim _{x \rightarrow-3-} 2[x^2+1]=2 \cdot 10=20\end{aligned}$
$\begin{aligned} & \lim _{x \rightarrow 3^{+}}\left[2 x^2+1\right]=19 \\ & \lim _{x \rightarrow 3^{-}}\left[2 x^2+1\right]=18 \\ & \lim _{x \rightarrow-3^{+}}\left[2 x^2+1\right]=18 \\ & \lim _{x \rightarrow-3^{-}}\left[2 x^2+1\right]=19\end{aligned}$
$\begin{aligned}&\lim _{x \rightarrow 3+}\left[x^2-1\right]=8 \\ &\lim _{x \rightarrow 3-}\left[x^2-1\right]=7 \\ &\lim _{x \rightarrow-3+}\left[x^2-1\right]=7 \\ &\lim _{x \rightarrow-3^{-}}\left[x^2-1\right]=8\end{aligned}$
$\begin{aligned} & \lim _{x \rightarrow 3+} 2[x^2-1]=2 \cdot 8=16 \\ & \lim _{x \rightarrow 3-} 2[x^2-1]=2 \cdot 7=14 \\ & \lim _{x \rightarrow-3^{+}} 2[x^2-1]=2 \cdot 7=14 \\ & \lim _{x \rightarrow-3^{-}} 2[x^2-1]=2 \cdot 8=16\end{aligned}$
$\begin{aligned}&\lim _{x \rightarrow 3^{+}}\left[2 x^2-1\right]=17 \\ &\lim _{x \rightarrow 3^{-}}\left[2 x^2-1\right]=16 \\ &\lim _{x \rightarrow-3^{+}}\left[2 x^2-1\right]=16 \\ &\lim _{x \rightarrow-3^{-}}\left[2 x^2-1\right]=17\end{aligned}$
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