If

\( f(x) = \left\{ \begin{array}{ll} sgn(\{ x - \frac{1}{2} \})[\ln x] & \mbox{if 1 < x $\leq$ 3};\\ \{ x^2\}& \mbox{if 3 < x $\leq$ 3.5}.\end{array} \right. \)

Then find the number of points on which the continuity of f(x) should be checked :

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