Select the FIRST correct reason why the given series converges. A. Convergent geometric series B. Convergent p series C. Comparison (or Limit Comparison) with a geometric or p series D. Converges by alternating series test 1. 2. 3. 4. n1 0 (n+1)(99) 102n n 1 00 n (-1)" In(e) n' cos(nn) in (2n) n 0 5. n=1 00 6. n=1 (-1)" 3n + 4 cos(NT) In(7n) n + n n4 NOTE: the version of the alternating series test provided in section 11.5 of Stewart is not general enough to solve this problem. You will need the following version: If the series (-1)^ 6 satisfies the conditions n 1 (i) there is an index N such that 0 b+1 bn for all n > N (ii) lim bn = 0 n->00 then the series converges. Select the FIRST correct reason why the given series converges. A. Convergent geometric series B. Convergent p series C. Comparison (or Limit Comparison) with a geometric or p series D. Converges by alternating series test 1. 2. 3. 4. n1 0 (n+1)(99) 102n n 1 00 n (-1)" ln(e) n' cos(nn) in (2n) n 0 5. n=1 00 6. n=1 (-1)" 3n + 4 cos(NT) In(7n) n + n n4 NOTE: the version of the alternating series test provided in section 11.5 of Stewart is not general enough to solve this problem. You will need the following version: If the series (-1)"6n satisfies the conditions n 1 (i) there is an index N such that 0 b+1 bn for all n > N (ii) lim bn = 0 n->00 then the series converges.