6. Let a be a real number. Consider the series Σ an = cos(nT); 2n +1 an, where n=0 Is it possible to find an a > 0 such that the above series is both absolutely convergent and conditionally convergent? Briefly explain your reasoning. Answers without reasoning will be given 0. (b) Find all a > 0 such that the series diverges. (c) Find all a > 0 such that the series converges absolutely. (d) Find all a > 0 such that the series converges conditionally.

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