Use the Root Test to determine the convergence or divergence of the given series or state that the Root Test is inconclusive.Σ(n+14)"L = liman= (Enter 'inf' for ∞.)n→∞∞Σ(n+14)" is:n=1O A. convergentO B. divergentO C. The Root Test is inconclusive

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Answered: Use the Root Test to determine the…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Consider the series San where n=1 (-1)"n n² + 2n + 5 In this problem you must attempt to use the Ratio Test to decide whether the series converges. Compute an = an+1 L = lim n-00 an Enter the numerical value of the limit L if it converges, INF if it diverges to infinity, -INF 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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Consider the series Σ(n+1)7²n+1 In this problem you must attempt to use the Ratio Test to decide whether the series converges. Compute L = lim n-00 an+1 an Enter the numerical value of the limit L if it converges, INF if it diverges to infinity, -INF if it diverges to negative infinity, or DIV if it diverges but not to infinity or negative infinity. L = Motor in order 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:
20
00 Use the equation E x" for |x| < 1 to expand the function in a power series with center c = 0. 5-x n=0 (Use symbolic notation and fractions where needed.) 00 5 - X n=0 Determine the interval of convergence. (Use symbolic notation and fractions where needed. Give your answers as intervals in the form (*, *). Use the symbol oo for infinity, U for combining intervals, and an appropriate type of parenthesis "(", ")", "[" or "]" depending on whether the interval is open or closed.) x E

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Use the Root Test to determine the convergence or divergence of the given series or state that the Root Test is inconclusive. Σ(n+14)" L lim an = (Enter 'inf' for ∞.) n→∞ Σ (14)" is: n+14 n=1 O A. convergent O B. divergent OC. The Root Test is inconclusive