1. The following questions test your basic understanding of concepts. State whether the statement is true or false. You don't need to show any work. (a) If both the series 22:1 an and 22:1 [7,, converge to L, then the new series 2:1(an - b") converges to L2. (b) If (1,, S 1),, for all postive integer n, and 22:, bn converges, then 22:, (1,, must converge as well. (C) m -If an f(n) and f (T) is a continuous, positive and decreasing function on [,1[oo], then 211a,, converges. (d) The function y = tea4t is a. solution to the differential equation y\"+8y'+ 1623 = 0 - - . . 1 1 , -. . (e) The integral f\" mats 1s convergent. (f) The series 2:1 mm is convergent