1. Use the graph of the function f shown to estimate the indicated limits and the function value. a. lim f(x) X - - 1 42 b. lim f(x) x - - 1+ c. lim f(x) X - - 1 d. f( - 1) a. Find the limit. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. lim f (x ) = (Type an integer.) X - - 1 O B. The limit does not exist. b. Find the limit. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. lim f (x) = (Type an integer.) x- -1+ O B. The limit does not exist. c. Find the limit. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. lim f (x ) = (Type an integer.) O B. The limit does not exist. d. Find the function value. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. f( - 1) = (Type an integer.) O B. The function does not have a value. 2. Given that lim f(x) = -7 and lim g(x) = 2, find the following limit. x - 3 x - 3 lim [7f(x) + g(x)] X-+3 lim [7f(x) + g(x)] = X -+ 3 (Simplify your answer.)3. 5x Find the limits in a), b), and c) below for the function f(x) = - x - g . Use - co and co when appropriate. a) Select the correct choice below and fill in any answer boxes in your choice. O A. lim f(x) = x-9- (Simplify your answer.) O B. The limit does not exist and is neither - co nor co. b) Select the correct choice below and fill in any answer boxes in your choice. O A. lim f(x) = x-9+ (Simplify your answer.) O B. The limit does not exist and is neither - co nor co. c) Select the correct choice below and fill in any answer boxes in your choice. O A. lim f(x) = X- 9 (Simplify your answer.) O B. The limit does not exist and is neither - co nor co. 4. Find (A) the leading term of the polynomial, (B) the limit as x approaches co, and (C) the limit as x approaches - co. p(x) = 5x + x5 - 8x4 (A) The leading term is (B) The limit of p(x) as x approaches co is (C) The limit of p(x) as x approaches - co is7. Use the graph of the function f shown to the right to estimate the indicated function At ( x) values and limits. Complete parts (A) through (E) below. (A) Find the value of lim f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your X - 3 - choice. O A. lim f(x) = X -+ 3 O B. The limit does not exist. (B) Find the value of lim f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your X-+3* choice. O A. lim f(x) = X-3 O B. The limit does not exist. (C) Find the value of lim f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your X -3 choice. O A. lim f(x) = X-+3 O B. The limit does not exist. (D) Find the function value f(3). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. f (3) = O B. The value does not exist. (E) Is f continuous at x = 3? Explain. O A. The function is discontinuous at x = 3 since f(3) does not exist. O B. The function is continuous. O C. The function is discontinuous at x = 3 since lim f(x) #f(3). X-+3 O D. The function is discontinuous at x = 3 since lim f(x) does not exist. X - 3