Problem 422 (difficulty: 3/10)

Determine the points of discontinuity of the following functions. What type of discontinuities are these?

 (1)  \(\displaystyle \frac{x^3-1}{(x-1)(x-2)(x-3)}\),      (2)  \(\displaystyle \frac1{\left[\frac1x\right]}\).

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