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Hello, Please help me with my AP Calculus math class work. If possible, please show me the steps to the problem so I can learn

Hello,

Please help me with my AP Calculus math class work. If possible, please show me the steps to the problem so I can learn from it. Not necessary but it would help!

Thanks!

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Consider the series an where iM an = Vn + 6(n + 6)! In this problem you must attempt to use the Ratio Test to decide whether the series converges. Compute L = lim an+1 71-+00 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? A. The Ratio Test says that the series converges absolutely. B. The Ratio Test says that the series diverges. C. The Ratio Test says that the series converges conditionally. D. The Ratio Test is inconclusive, but the series converges absolutely by another test or tests. E. The Ratio Test is inconclusive, but the series diverges by another test or tests. F. The Ratio Test is inconclusive, but the series converges conditionally by another test or tests. Enter the letter for your choice here:Consider the series _- an where an = (-1)"( In(n) n In this problem you must attempt to use the Root Test to decide whether the series converges. Compute L = 1 lim lanl 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? A. The Root Test says that the series converges absolutely. B. The Root Test says that the series diverges. C. The Root Test says that the series converges conditionally. D. The Root Test is inconclusive, but the series converges absolutely by another test or tests. E. The Root Test is inconclusive, but the series diverges by another test or tests. F. The Root Test is inconclusive, but the series converges conditionally by another test or tests. Enter the letter for your choice here:Consider the series M 8 an Where an = (-5 )n+3 (2n2 + 7)8" In this problem you must attempt to use the Ratio Test to decide whether the series converges. Compute L = lim an+1 71-+00 Enter the numerical value of the limit L if the limit exists, 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? A. The Ratio Test says that the series converges absolutely. B. The Ratio Test says that the series diverges C. The Ratio Test says that the series converges conditionally. D. The Ratio Test is inconclusive, but the series converges absolutely by another test or tests. E. The Ratio Test is inconclusive, but the series diverges by another test or tests. F. The Ratio Test is inconclusive, but the series converges conditionally by another test or tests. Enter the letter for your choice here: ? +

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