71Pu2cC... W a._practice_problem. Set Notation (soluti... Required documents M Gmail You Tube Maps Translate ry ... 5 Consider the following infinite series: So = k2 + K - 2 k=2 (a) Represent the discrete sequence rule of this series by a continuous function f (x). [1 mark] (b) Is f (x) a positive function over the relevant interval? Justify your answer. [1 mark] (c) Is f (x) a continuous function over the relevant interval? Justify your answer. [1 mark] (d) Is f (x) a decreasing function over the relevant interval? Justify your answer. [1 mark] (e) Can the integral test be used to verify convergence of this infinite series? Explain your answer. [1 mark] (f) If your answer to (e) is yes, then, determine whether the series converges or diverges. Show all your analytical steps. [3 marks] (g) If your answer to (f) indicates that the series converges, then, find the sum S... Show all your analytical steps. (Hint: Perhaps you may find p.741 of your calculus textbook, 9th Ed. on Telescoping Sum helpful) [2 marks] 99+ ENG US