For each or the series below select the letter trom a to c that best applies and

Question

For each or the series below select the letter trom a to c that best applies and the letter trom d to k that best applies. A possible correct answer is at tor example. The series is absolutely convergent. The series converges: but not absolutely. The series diverges. The alternating series test shows the series converges. The series is a p-series. The series is a geometric series. We can decide whether this series converges by comparison with a p series. We can decide whether this series converges by comparison with a geometric series. Partial sums of the series telescope. The terms of the series do not have limit zero. None of the above reasons applies to the convergence or divergence of the series. cos2(n pi) /n pi (2n+3)!/(n!)2 1/ n log (5+n) 1/n n cos(n pi)/ n pi 6+ sin (n) / n

Explanation / Answer

correct are 1 and 4 series 6 is also currect as summation (1/n^.5) diverges

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