Use the root test to determine the convergence or divergence of the series. (if you need to use or -, enter infinity or - infinity, respectively.) ∞ - 5n 4n + 1 3n n = 1

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Mathematics

Ashlyn Cowan

7 August, 03:03

Use the root test to determine the convergence or divergence of the series. (if you need to use or -, enter infinity or - infinity, respectively.) ∞ - 5n 4n + 1 3n n = 1

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Deacon Benton · Answer 1

Determine whether the geometric series. ∞. ∑ n=1 en. 3n-1 is convergent or divergent. If it isconvergent, find its sum. Answer: I can re-write the terms as en. 3n-1 ... (n n + 1.) = lim n→∞ sn = limn→∞. (-ln (n + 1)) = - ∞, so the given series diverges. 48. Find the values of x for which the series. ∞. ∑n=1. (x - 4) n converges.