1. The following series make use of a parameter. Find the largest subset S C R for which if the parameter is in S then the series is convergent. For example, for the series 2k ark, the parameter in this case is a and the largest subset of R for which this series is convergent is (1, 1). Justify your answers. AkaA (a) 21:0 k! 03) 22:1 Fae(1\" '02. (Hint: Remember that ab\": = ((9)9) k: (c) 22:1 %k!. (d) 2k_11'1n(1_p) a: (Hint: You might want to derivate 1_ m.) a. Ick- \" (C) Ek=1 (k \")3; (3 22 1(1-6 )k - 0,, (1162+ ma + 21; (g) 2= k7k5+3k 2. For each of the following power series, nd a function f (:23) that equals the series. Answers that are given in terms of a summation or power series (i. e. using Sigma-notation) will be considered invalid. As an example, the function associated to Efro (tn! is e\". (a) 2:: 0 \"5%!\" \"31.,forx6R (b) 271:0 11(3; 1)\"_1, for x E (O, 2). 3:0 Lift ,for x E R. (d)2 =0nx\