National day advanced mathematical function, limit concept question 6, please look at my question carefully, don't answer it in a word or two, it's urgent, please.
F(x) is a function, but it is a specific value of a certain point.
α is infinitesimal, since it is infinitesimal, it can be ignored.
|f(x)-A| means that f(x) tends to a certain point and infinity tends to 0, so does f(x) tend to a?
In addition: the limit does not require continuity.