Suppose an = 1/ n^5/6 ln(n^2) and bn = 1/n^5/6 and you apply the direct comparis

Question

Suppose an = 1/ n^5/6 ln(n^2) and bn = 1/n^5/6 and you apply the direct comparison test to the series sigma an between n=2 to infinity with comparison series sigma bn between n=2 to infinity. Which of the following statements regarding the series sigma an between n=2 to infinity is true? A. The series diverges by the nth-term test. B. The series converges by the nth-term test. C. The series diverges by the direct comparison test with the given comparison series. D. Both the nth-term test and the direct comparison test with the given comparison series are inconclusive. E. The series converges by the direct comparison test with the given comparison series.

Explanation / Answer

c( option

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