Determine which of the following tests would be best to use to determine the convergence of the series below. Does the series converge or diverge? Select all that apply: Ratio Test Root Test Alternating Series Test Integral Test The Series Diverges The Series Converges ∞ n! Σ (4n)! n=1

Q: Does the following series converge or diverge? n° Σ n=1 O The series diverges. The series converges.

A: ∑n=1∞an=∑n=1∞nn8n2 Theorem: let ∑n=1∞an,be the series L=limn→∞an1n then, If L<1 the series is…

Q: Test if the following series converges or diverges. State the test that you are using and show how…

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Q: Test if the following series converges or diverges. State the test that you are using and show how…

A: we have to test whether the given series is convergent or divergent

Q: Determine whether the series converges. Σke-k² 8 k=1 The series

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Q: Determine which of the following tests would be best to use to determine the convergence of the…

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Q: Use the Limit Comparison Test to determine if the following series converges or diverges. n-4 n=1…

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Q: Test if the following series converges or diverges. State the test that you are using and show how…

A: Given series is ∑k=2∞k4lnkk Here, I am using root test to solve the series.  Root test:  Suppose…

Q: Does the following series converge or diverge? 10 Σ 9/n +8n n = 1 O The series diverges. O The…

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Q: Does the following series converge or diverge? 00 Σ 10n372 n 1 +3n- 8

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Q: Does the sequence converge? If so, what is its limit? If not why not? ne-n nten n=1

A: 1) The given sequence is;  (ne-n/(n+e-n))infinity n=1. 2) The given series is 2/(-5)n.