(1 point) In this problem you will compute the value of 2 (gtn) . n=0 (3). Express 1/(1 x) as a geometric series: 1 m m 1_x =,,2=0 ::: (b). Differentiate both sides of the equation in part (a) with respect to x. expressing the right side as 2:0 cnx" for constants c": (f). Reindex the right-hand side of the equation in part (e) to obtain a sum starting at n = 1: 00 (Left-hand side of equation in part (e)) = 2 5!! n=1 n2 (9). Use your equation in part (f) to compute the value of 2 (3H) : n=l 00 2 n 2 (3n ) = E! (Check that the sum converges; if it does not, enter "diverges".) n=1 0 2 n (h). Use your equation in part (9) to compute the value of E (37) : n=0 N 2 n E (37) = 555 (Check that the sum converges; if it does not, enter "diverges".) n=0