Consider the behavior of values of sin(1/x) near X = 0. The graph of sin(1/x) shown to the right. Answer parts (a),(b), and (c). Create a table of sin(1/x) for the following values of x.Complete the following table. Describe the pattern of values that can be observed in the table. Choose the correct answer below. The value of sin(1/x) approaches .(Type an integer or a fraction.) The value of sin(1/x) is constant. The value alternates between 1 and -1 Why does a graphing utility have difficulty plotting the graph of y = sin(1/x) near x=0? Choose the correct answer below. the alternation between 1 and -1 happens infinitely many times on the interval (0, h) no matter how small h>0 becomes. The function sin(1/x) tends to infinity near x = 0. The function sin(1/x) is not defined near x = 0. What do you conclude about lim sin(1/x)? Choose the correct answer below. lim sin(1/x) = (Type an integer or a fraction.) lim sin(1/x) does not exist.