ww3.math.msu.edu MTH133. 101 S Pair the conclusion think the series is a diverge

Question

ww3.math.msu.edu MTH133. 101 S Pair the conclusion think the series is a divergent p-series. (Note that you need only give one correct test/reason th n C (converges) or D (diverges) with a test or reason below which supports this conclusion. For example, leave the 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 geometric series or a constant multiple of a p-series) Z- None of the above muitiple of a standard p-series (but this series is not a IMPORTANT: You will be expected to justify your answers on an in-class exam or quiz nn9) 7n Hint: Inn yM, for n 1, 2, 2 V6n In n nIn n) 8. 5n 1

Explanation / Answer

1) DC, by comparison test the series diverges.

2) DC, by comparison test the series diverges.

3) DC, by comparison test the series diverges.

4) CP, by p-series test the series converges.

5) CC, by comparison test the series converges.

6) DI, by integral test the series diverges.

7) DI, by integral test the series diverges.

8) DN, by nth term test the series divrerges.

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