MATH 127 Quiz # 5 (Practice Version) Bubble your answer(s) for each question 1 - 6 on the last page of the exam. [1] 1. The table shows values of / (z). x -0.1 -0.01 -0.001 0 0.001 0.01 0.1 (x) 3.97 3.98 3.99 6 4.01 4.02 4.03 This tells us that (a) lim f (z) = 6 (b) lim /(z) = 4 (c) lim /(z) does not exist (d) There is not enough information to determine if lim f(r) exists. [1] 2. Assume lim g(x) = 5. Select all of the statements that must be true. (a) g(z) is continuous at z = 2. (b) lim g(x) = lim g(=). (c) lim 9(2) - 1. 1 2 (d) ling(z) = 10. [1] 3. The graph of a piecewise defined function h(x) is given below. Select all of the true statements. (a) lim h(x) = 1.5. (b) lim h(z) = 3. (c) lim h(r) does not exist.Bubble your answer(s) for each question 1 - 6 on the last page of the exam. [1] 4. The function f is continuous on [0, 2] and has the values that are given in the table. 0 1 2 f(x) 1 k 2 The equation f(x) = , must have at least two solutions in the interval [0, 2] if (a) k =0. (b) k = 1/2. (c) k = 1. (d) k = 2. (e) k = 3. [1] 5. Assume that lim g(r) = 0 and g(x) / 0 for all z. Then, lim 0 (a) does not exist. (b) = 0. (c) = 1. (d) there is not enough information to determine if the limit exists or not. (e) exists, but there is not enough information to determine the value of the limit. [1] 6. If a number very close to zero is divided by another number very close (but not equal) to zero, the result (a) must be a number very close to zero. "b) must be a number close to 1. (c) could be any number. (d) might not be a number at all