| Entered I Answer Preview At least one of the answers above is NOT correct. Determine whether the series is convergent or divergent. :0: 18 tan1(6n) 2n + 1 11:1 The series converges V, Justification: (If more than one test is appropriate, pick the first applicable test in the list.) OA 00 ' This is a Geometric Series of the form 2 awn1 where a 2 , 'r 2 , and its sum is (Enter n=1 "DNE" if divergent.) O B. This is a Telescoping Series, lim sn 2 n)oo O C. By the Divergence Test, lim an 2 Till>00 O D. By the Direct Comparison Test, an 00 \" Ian| = ' Entered I Answer Preview converges converges I; 0.367879 At least one of the answers above is NOT correct. Determine whether the series is convergent or divergent. 0 1 1 Z err1 _ en+2 n=1 The series converges v, Justification: (If more than one test is appropriate, pick the first applicable test in the list.) OA 00 ' This is a Geometric Series of the form 2: air-\"'1 where a = , r = , and its sum is (Enter n21 "DNE" if divergent.) O B. This is a Telescoping Series, lim an 2 nrco O C. By the Divergence Test, lim an 2 ill>00 O D. By the Direct Comparison Test, an bn where 2 b : Z C() where c : and p : O E By the Limit Comparison Test, let 2 b : Z c(%) where c : ,p : , and . an Inn : n>oo I)\" O G. By the Alternating series test, i) {bn} is ultimately decreasing because the function f satisfying f (n) : bn is decreasing on the interval ii) lim 3),, : 71,)00 O H. By the Integral Test, i) The function f satisfying f (n) : an is positive, continuous, and ultimately decreasing on the interval ii) [00 at) (in: 2 O I' By the Ratio Test, 11m 71)00 \"n+1 : 1/e O J. By the Root Test, 11111.,,_>00 " |an| =