MATH 1103 Final: COMPLETE Calculus II for Math and Science Majors Notes (90% on final exam)

(1 point) 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)" ln(en) cos(nz) sin2(7n) cos(nn) 2(4)" 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)n-1bn satisfies the conditions () there is an index N such that O

(1 point) Test each of the following series for convergence by either the Comparison Test or the Limit Comparison Test. If at least one test can be applied to the series, enter CONV if it converges or DIV if it diverges. If neither test can be applied to the series, enter NA. (Note: this means that even if you know a given series converges by some other test, but the comparison tests cannot be applied to it, then you must enter NA rather than CONV.) 2 3 4 Note: In order to get credit for this problem all answers must be correct.

Select the FIRST orect reason why the given series converges. A. Convergent geometric series B. Convergent p-series C. Integral test D. Comparison with a convergent p-series E. Converges by limit comparison test F Converges by alternating series test 4 1. nln(n)) è·³. n= 1 -1 In(7n) n= 1 5. n= 1 6. n= 1