Find: _ x 1 [x] - Vidyadip

Question

Find:
$\lim\limits_{\text{x}\rightarrow1}\ [\text{x}]$

✓

Answer

$\lim\limits_{\text{x}\rightarrow1}\ [\text{x}]$
$\lim\limits_{\text{x}\rightarrow1^-}[\text{x}]=0$
$\lim\limits_{\text{x}\rightarrow1^-}[\text{x}]=1$
$\Rightarrow\lim\limits_{\text{x}\rightarrow1^-}\ [\text{x}]\ne\lim\limits_{\text{x}\rightarrow1^+}[\text{x}]$
Thus, $\lim\limits_{\text{x}\rightarrow1}\ [\text{x}]$ does not exist

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