1. Ifosan s- 3 what is the true about the series _a,? Choose the correct answer below. O A. The series Zan diverges. OB. The series Zan might converge, might diverge. O C. The series Za, must converge. 2. *Problem #2 on the workshop and the question below are similar. In fact, they are both related to the limit comparison test, but the statements are slightly different from what we see in the textbook. Use similar reasoning to problem #2 to answer the below question. Suppose that a, > 0 and b, > 0 for n 2 N (N an integer). If lim an = co and Zan converges, can anything be said about n- co Ebn ? Give reasons for your answer. Choose the correct answer below. OA. The series _b, is a convergent series. Since lim = co, there exists an N such that for n-+oo an all n > N, bo - > 1 implies a, > b, . By the Direct Comparison Test, if Za, converges, then on converges. O B. Nothing can be said about the series _b, . The Direct Comparison Test, in this case, does not mention anything about _b, being convergent or divergent when Zan converges. O c. The series _b,, is a divergent series. Since lim = co, there exists an N such that for n-+co an all n > N, b -