5. For this problem, you have to read and study the textbook pages 762- 763 about The Limit Comparison Test: Suppose that Z on and Eb\" are series with positive terms. 11:1 11:1 If . an 11m = c nroo n where c is a nite number with c > 0, then either both series converge or both diverge. For the following problems, you must use the Limit Comparison Test. No points will be given for solutions that do not use the Limit Comparison Test. (a) (2 marks) Determine whether the series i 5,110 | 21*; + 1 \"=1 1/,\"4064. + 1 converges or diverges by comparing with 00 1 E \"m- n=1 You have to use the Limit Comparison Test to justify your answer. (b) (3 marks) Determine whether the series we n=1 converges or diverges. You have to use the Limit Comparison Test to justify your answer. 6. Let 0: be a real number. Consider the series 00 n g on, where on = cos(mr) 2:+ 1. (a) Is it possible to nd an o: > 0 such that the above series is both absolutely convergent and conditionally convergent? Briey explain your reasoning. Answers without reasoning will be given. 0. (b) Find all or > 0 such that the series diverges. (c) Find all or > 0 such that the series converges absolutely. ((1) Find all or > 0 such that the series converges conditionally