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Use the function and graph to answer the questions about existence, limits, and continuity. Does f( - 5) exist? - X - 3, -5SX 6. X 10a. Find lim f(x). Select the correct choice below and, if necessary, fill in the answer box in your choice. x-6* O A. lim f(x) = (Simplify your answer.) x-+6 O B. The limit does not exist. Find lim f(x). Select the correct choice below and, if necessary, fill in the answer box in your choice. x-+6 O A. lim f(x) = (Simplify your answer.) X-+6 O B. The limit does not exist. Find f(6). Select the correct choice below and, if necessary, fill in the answer box in your choice. O A. f(6) = (Simplify your answer.) O B. f(6) does not exist. b. Does lim f(x) exist? If so, what is it? If not, why not? X-+6 O A. Yes, lim f(x) exists and equals . (Simplify your answer.) x-+6 O B. No, lim f(x) does not exist because lim f(x) # lim f(x). (-+6 X-+6 O C. No, lim f(x) does not exist because f(6) is not equal to lim f(x) or lim f(x). x-+6 x-+6 O D. No, lim f(x) does not exist because f(6) is undefined. (+6 c. Find lim f(x). Select the correct choice below and, if necessary, fill in the answer box in your choice. x-5* O A. lim f(x) = (Simplify your answer.) x-+5+ O B. The limit does not exist. Find lim f(x). Select the correct choice below and, if necessary, fill in the answer box in your choice. x-+5 O A. lim f(x) = (Simplify your answer.) x-5 O B. The limit does not exist. d. Does lim f(x) exist? If so, what is it? If not, why not? x-+5 O A. Yes, lim f(x) exists and equals . (Simplify your answer.) X -+ 5 O B. No, lim f(x) does not exist because f(5) is not equal to lim f(x) or lim f(x). x -5 x-5 x-+5 O C. No, lim f(x) does not exist because lim f(x) # lim f(x). 1-+5 x-+5* X-5- O D. No, lim f(x) does not exist because f(5) is undefined.Using the following graph of the function f, evaluate the limits (a) through (i). (a) Select the correct choice below and fill in the answer box within the choice. Ay O A. lim f(x) = X-+4 O B. lim f(x) does not exist. x-+4 6- (b) lim f(x) = x- -3* (c) lim f(x) = X- - 3 (d) Select the correct choice below and fill in the answer box within the choice. X O A. lim f(x) = - 10 86 40 2 14 6 8 10 X- - 3 O B. lim f(x) does not exist. x- -3 (e) lim f(x) = x-+ 2+ (f) lim f(x) = x-+2 (g) Select the correct choice below and fill in the answer box within the choice. O A. lim f(x) = X-+2 O B. lim f(x) does not exist. x-+2 (h) lim f(x) = X-+00 (i) lim f(x) = X - 00