# Let's check your approach to continuity

Calculus Level pending

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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