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Math · Advanced Math
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B is FALSE. Why, prove it and give an example. Thanks

3. Let I be an open interval. Let a I. Let f be a function defined on I. Assume that f is continuous at a and that f is differentiable near a (except possibly at a) Consider the following two definitions: J (x)-J(a f has a vertical tangent line at a when lim . f is funky at a when lim f(x) = oo or-oo. x→a Is each one of the following statements true or false I true, proe it. If false construct a counterexample (a) IF f is funky at a, THEN f has a vertical tangent line at a. (b) IF f has a vertical tangent line at a, THEN f is funky at a. Hint: Do Question 2 first.

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