In this problem you will explore the series cos (n) (20 points) 1=1 n a. Verify numerically (make a table or dot plot) that lima, =0. b. Explain why we cannot apply the integral test to determine if the series converges or diverges. c. Explain why we cannot use the p-series test to determine if the series converges or diverges. d. Explain why we cannot use the comparison test to determine if the series converges or diverges. e. Explain why we cannot use the limit comparison test to determine if the series converges or diverges. f. What does the absolute value test tell us about the whether the series converges or diverges? g. Explain why we cannot use the alternating series test to determine if the series converges or diverges. h. What does the ratio test tell us about whether the series converges or diverges? i. Does the series converge? If so, give an argument that clearly demonstrates this and an approximate value of the sum. If not, clearly explain how you know the series diverges