Question

Lula is trying to find and classify the discontinuities of some functions, but she has some misconceptions.In this problem, your job is to explain what’s wrong with Lula’s reasoning. "As

x → 3, the denominator x – 3 tends to 0; there's nothing that I can cancel in the numerator and denominator, so g must have a vertical asymptote at x = 3." - What is incorrect about Lula's reasoning? Is Lula's conclusion that g has a vertical asymptote at x = 3 correct? Give a concrete example to show Lula that her reasoning is incorrect. (In other words, give a different function g for which the same reasoning would lead Lula to the wrong conclusion.) next, lula looks at g(x) cos/x-3 she recognizes that there is a discontinuity at x=3 and she says

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