Use an appropriate test to determine whether the following series converges. M8 10 k=1 √k Select the correct choice below and fill in the answer box to complete your choice. 10 O A. The series diverges by the Divergence Test. The value of lim is k→∞ √√k³ 00 OB. The series diverges by the Integral Test. The value of S 1 Oc. The series converges. It is a p-series with p= OD. The series diverges. It is a p-series with p=| . 10 dx is O E. The series converges by the Divergence Test. The value of lim k→∞ 10 is

Q: Determine whether the following series converges. Justify your answer. 00 k=1 +7 4 Select the…

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Q: Determine whether the series converges. Σ V2k – 1 O The series converges. O The series diverges.

A: Solution: ∑k=1∞12k-13 Definition: If there exists N ≥k so that for all n≥N,f(n)=an is positive,…

Q: Use an appropriate test to determine whether the series given below converges or diverges. M8 n=1 2n…

A: Given series is ∑n=1∞2n3n-8

Q: n3 converges or diverges and identify the test you used. 4. Determine whether the series S : nª + 3…

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Q: 1+3* Does the series converge? If so, find the sum. If not, explain why. k=1

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Q: Find all values of x for which the series converges. (Enter your answer using interval notation.)…

A: Use substitution then use expression for Radius of convergence .

Q: Ε Use an appropriate test to determine whether the following series converges. 1 Σ k=2 (k - 1,4

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Q: Determine whether the alternating series coniverges. 5ln k k k=3 O The series diverges. O The series…

A: Here, the given series is: ∑k=3∞(-1)k5 ln kk which is the alternating series with bk=5 ln kk; k≥3

Q: Determine whether the series Σ n=0 converges or diverges. If it converges, find its sum. Select the…

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Q: Q.4 - Determine whether the series converges, find its sum. converges or diverges. If it n=1

A: To determine whether the given series converges or diverges .  If it converges then to find the sum.…