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Pair the conclusion C (converges) or D (diverges) with a test or reason below wh

ID: 2859932 • Letter: P

Question

Pair the conclusion C (converges) or D (diverges) with a test or reason below which supports this conclusion. For example leave the answer DP if you think the series is a divergent p-series. (Note that you need only give one correct test/reason there may be multiple correct answers.) G = It's a geometric series P = It's a standard p-series N = The nth term test for divergence I = Integral Test C = Comparison or Limit Comparison Test, compared to a geometric series or a constant multiple of a standard p-series (but this series is not a geometric series or a constant multiple of a p-series) Z = None of the above , - n P IMPORTANT: You will be expected to justify your answers on an in-class exam or quiz! cos(72 1n(6) n ln(n) n+16+1) 12 /2 Tl 72 (2n)! n 4 . (2n). n! 2n. (2n-1): (2n-2) … 2-1 Hint: = 7n 4

Explanation / Answer

1. CC

2.CZ ( from LOGORTHAMIC TEST)

3. CZ (FROM RATIO TEST)

4. DC

5. D Z ( ABSOLUTE RATIO TEST)

6. DP

7.DZ

8.DP

1. DC

2.CC

3. CG

4.CC

5. CC

6.CC

7.DP

8.DP