8.4 Other Convergence Tests: Problem 2 Previous ProblemProblem List Next Problem

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8.4 Other Convergence Tests: Problem 2 Previous ProblemProblem List Next Problem (6 points) Select the FIRST correct 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 sin (4n) o) n +In(n) 41) 17n6 In(5m) n+ 5 Note: In order to get credit for this probiem all answers must be correct Preview My Answers Submit Answers You have attempted this problem 3 times Your overall recorded score is 0% You have unlimited attempts remaining Email instructor DOLL

Explanation / Answer

(1)

we can use lmit comparison test

so, option-E

(2)

we can see that there is a negative sign

so, we can use alternating series test

so,option-F...................Answer

(3)

we can use limit comparison test

so, option-E......................................Answer

(4)

we have (-1)^n

so, we can use alternating series test

so, option-F.........Answer

(5)

we can write cos(pi*n) as (-1)^n

so, we can use alternaing series test

so, option-F..............Answer

(6)

we can see that we have (-1)^n

so, we can use alternating series test

so, option-F............Answer

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