(Section 2.5: The Indeterminate Forms 0/0 and ±/±) 2.5.6 Here is the graph of y=x2±1x2±x: (Figure 2.5.a) The Graph of a Rational Function at a Point aThe graph of y=fx(), wherefis a rational function on its implied domain, can have oneof the following at x=a, where ais a real constant: 1)the pointa,fa, iffis defined at a. 2)a VA, if simplifying yields the Limit Form c0as x±afor some nonzero real constant c. There are x±afactors in the denominator that cannot be canceled out.
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Rational function, Indeterminate form, Defined and undefined, Limit Form