Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check that the conditions of the Integral Test are satisfie ∞ 8 Σ n=6 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. n+6 OB. The series converges because (Type an exact answer.) The series diverges because Sz 6 8 -dx = X+6 8 X+6 dx = (Type an exact answer.) O c. The Integral Test cannot be used since one or more of the conditions for the Integral Test is not satisfied.

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: 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: Use any method to determine whether the series converges. k2 (a) k3 + 6 Vk (b) k3 + 6 ?

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Q: 15.) 1+ 3 +3 + +..

A: The given series is divergent by P-test

Q: Find the values of x so that the series below converges. Give your answer in interval notation. 8…

A: Given series: ∑n=0∞ x+10n7n To find: The interval of convergence. Ratio Test: Let ∑an be a series…

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.…