show that the function $f(x) = \left\{ \begin{array}{l l} \large \frac{3}{2}-x, & \quad {\large\frac{1}{2}< x < 1}\\ \frac{3}{2}, & \quad { x = 1} \\ \large\frac{3}{2}+x, & \quad {1 \leq x < 2} \end{array} \right.$ is continuous at x = 1.

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