Help on these 2 please! Thanks!
Consider the series an where an = 9n/(7n2 + 2)6n+4 In this problem you must attempt to use the Ratio Test to decide whether the series converges. Compute L = an+1/an Enter the numerical value of the limit L if it converges, INF if it diverges to infinity, MINF if it diverges to negative infinity, or DIV if it diverges but not to infinity or negative infinity. L = Which of the following statements is true? The Ratio Test says that the series converges absolutely. The Ratio Test says that the series diverges. The Ratio Test says that the series converges conditionally. The Ratio Test is inconclusive, but the series converges absolutely by another test or tests. The Ratio Test is inconclusive, but the series diverges by another test or tests. The Ratio Test is inconclusive, but the series converges conditionally by another test or tests. Enter the letter for your choice here: For each of the series below select the letter from a to c that best applies and the letter from d to k that best applies. A possible answer is af, for 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. cos(n pi)/n pi 4+sin(n)/ cos2(n pi)/ni 1/nlog(4 + n) (2n + 7)!/(n!)2 1/n
Show transcribed image text Consider the series an where an = 9n/(7n2 + 2)6n+4 In this problem you must attempt to use the Ratio Test to decide whether the series converges. Compute L = an+1/an Enter the numerical value of the limit L if it converges, INF if it diverges to infinity, MINF if it diverges to negative infinity, or DIV if it diverges but not to infinity or negative infinity. L = Which of the following statements is true? The Ratio Test says that the series converges absolutely. The Ratio Test says that the series diverges. The Ratio Test says that the series converges conditionally. The Ratio Test is inconclusive, but the series converges absolutely by another test or tests. The Ratio Test is inconclusive, but the series diverges by another test or tests. The Ratio Test is inconclusive, but the series converges conditionally by another test or tests. Enter the letter for your choice here: For each of the series below select the letter from a to c that best applies and the letter from d to k that best applies. A possible answer is af, for 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. cos(n pi)/n pi 4+sin(n)/ cos2(n pi)/ni 1/nlog(4 + n) (2n + 7)!/(n!)2 1/n