Consider the following infinite series: (a) Is the sequence rule gk > 0 ? Justify your answer. Show all your steps. [1 mark] (h) Find a simpler sequence hk related to gk. Show all your steps. [2 marks] (C) Is hk > 0 ? Justify your answer. Show all your steps. [1 mark] (d) Is gk 2 hk or hk 2 gk ? Justify your answer. Show all your steps. [2 marks] (e) Does the series related to hk converge or diverge? Justify your answer. Show all your steps. [2 marks] (f) Using the direct comparison test, what can you say about the convergence or divergence of the series with gk ? Justify your answer. Show all your steps. [2 marks]