[Solution Library] Let f= -2x x<0 , 2x 0≤ x<1 , 1/2(x+1)^2 x≥ 1 , Is f(x) continuous at x =
Question: Let
\[f=\left\{ \begin{aligned} & -2x\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,x<0 \\ & 2x\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,0\le x<1 \\ & \frac{1}{2}{{\left( x+1 \right)}^{2}}\,\,\,\,\,\,\,\,\,x\ge 1 \\ \end{aligned} \right.\]
Is f(x) continuous at x = 0?
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