[Solution] Determine whether or not g is continuous at x = 1, where g(x)= -2x+3 if x<1 , x^2 if x≥ 1


Question: Determine whether or not g is continuous at x = 1, where

\[g\left( x \right)=\left\{ \begin{aligned} & -2x+3\,\,\,\,\,\,\,\,\,\,\,\text{if }x<1 \\ & {{x}^{2\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,}}\,\,\,\,\,\,\,\,\,\text{if }x\ge 1 \\ \end{aligned} \right.\]

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