Problem 423 (difficulty: 2/10)

Determine the points of discontinuity of the following functions. What type of discontinuities are these?
a) \(\displaystyle f(x)=\frac{x-2}{x^{2}-x-2},\)    b) \(\displaystyle g(x)=\sgn \left (\left \{ \frac{1}{x} \right \} \right )\).

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