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x2 - 49 Consider the function f(x) = x(X - 7) Complete parts (a) and (b). a. Evaluate lim f(x) and lim f(x), and then

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x2 - 49 Consider the function f(x) = x(X - 7) Complete parts (a) and (b). a. Evaluate lim f(x) and lim f(x), and then identify the horizontal asymptotes. X-+00 X - 00 x2 - 49 x2 - 49 lim = 1 lim = X(X - 7) X(X - 7) X-+00 X- - 00 Identify the horizontal asymptotes. Select the correct choice below and, if necessary, fill in all the answer boxes to complete your choice. A. The function has a horizontal asymptote at y = 1 O B. The function has horizontal asymptotes at y = and y = (Use ascending order.) O C. The function has no horizontal asymptote.b. Find the vertical asymptotes. For each vertical asymptote x = a, evaluate lim f(x) and lim f(x). Select X-a X-a the correct choice below, and, if necessary, fill in all the answer boxes to complete your choice. O A. The function has a vertical asymptote at x = The limits at this vertical asymptote are lim f(x) = and lim f(x) = X-a x-a O B. The vertical asymptote at x = has the limits lim f(x) = and lim f(x) = The vertical X-a X-a asymptote at x = has the limits lim f(x) = and lim f(x) = + X-a X-a (Use ascending order.) O C. The function has no vertical asymptote

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