Math 153 Concept Check 08 Problem 1} Each of the following students has made an error, either in their conclusion or in their argument. Identify the error. {a} Student A was given the series Eli53. Student A argued that since lim .m "5, = 0, the series must converge by the Divergence Test. {b} Student B was given 2:\":1 2'2\". Student B argued that their series is geometric with common ratio r = 2. Since |2I 2 1, they concluded that the series must diverge by the Geometric Series Test. 1 . . 113 "I. Student C noth that the function f (x) = continuous, decreasing, and positive on [1.00). They calculated to} Student C was given 23:1 was 13+: 1:13; dx = 1n|x3 +xl, evaluated from x = 1 tox = 00. The result was 00, so they concluded the series must diverge by the Integral Test. [d] Student D was given 2;, at. They were told that the Nth partial sum, S\" = 2L, a,\" satised \"me SN = 1. The student concluded that the series must diverge by the Divergence Test, since \"1'11qu SN was not equal to 0. 1 n+13' (e) Student E was given E Student E noticed that 1 1