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questions for you. There are conceptual questions. Determine whether each of the the following statements true or false. If it is true, give a brief
questions for you. There are conceptual questions. Determine whether each of the the following statements true or false. If it is true, give a brief explanation. If it is false give a counterexample. In each case Let y = f(@ ) be a function. (a) If lim f() and lim f(x), then lim f(r) exists. (b) If lim f(x)exists , then f is continuous at r = a. (c) if y = f() has a vertical asymptote, x = k, then lim f(x) = too (d) If f'(x) > 0, x E (a, b), then f(x) > 0, r E (a, b). (e) If f' () = 0, x E (a, b), then f is a constant function on (a, b). (f) Let y = g(x) be a function such that lim g(x) = b, then lim f(g(x)) = f ( lim g(x) ) = f(b). Thanks
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