Determine the following limits, using 00 or 00 when appropriate, or state that they do not exist. Simplify the expression inside the limit, if possible. Select the correct choice below and, if necessary, ll in the answer box to complete your choice. 2- o A. lim % = lim (D) x>4 x>4 Q B. The expression inside the limit cannot be simplied. Determine the following limits, using 00 or - 00 when appropriate, or state that they do not exist. I' x4 - 6x3 lm x>0 X3 E} Select the correct choice below and. if necessary. ll in the answer box to complete your choice. x4 - 6x3 0 A. lim 3 = E (Type an integer or a simplied fraction.) x)0 x O B. The limit does not exist and is neither 00 nor - oo. Analyze the following limit. 8 lim sin (x) X-0 . . . Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. lim sin (x) X-0 O B. The limit does not exist.x2 - 9x + 18 Let f(x) = .Complete parts (a) through (c) below. x2 - 3x . . . a. Analyze lim f(x), lim f(x), lim f(x), and lim f(x). x-0- x-+0* x-3 x-+3+ lim f(x) = co (Simplify your answer.) X - 0 lim f(x) = -co (Simplify your answer.) lim f(x) = -1 (Simplify your answer.) X -+ 3 lim f(x)= - 1 (Simplify your answer.) x-+3+ b. Does the graph of f have any vertical asymptotes? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The graph of f has two vertical asymptotes. The leftmost asymptote is and the rightmost asymptote is (Type equations.) O B. The graph of f has one vertical asymptote at 7 (Type an equation.) O C. The graph of f has no vertical asymptotes