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I have a certain problem: When you have a function $f(x)$ and it can have some undefined values, the reciprocal function does some things I don't understand. For example:
i) $$f(x)=\tan(x) $$
or another one:
ii)
$$ f(x)=\frac {5}{x-3} $$
Clearly you can see that for ii) $x=3$ will be undefin...