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 satisfied. 00 5 Σ k In2k k=4 Select the correct choice below and, if necessary, fill in the answer box to complete the choice. 00 5 -dx = x In x The series converges because OA. 4 (Type an exact answer.) 00 5 dx%3D x In x The series diverges because O B. (Type an exact answer.) OC. The Integral Test cannot be used since one or more of the conditions for the Integral Test is not satisfied.

Q: Determine the convergence or divergence of the series. E sin( ( (2n – 1)m 2 n = 1 converges O…

A: First simplify the given expression and then we can easily say that series is convergence or…

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

A:

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

A:

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

A: The given series is divergent by P-test

Q: Determine convergence or divergence of the series. E n?e-3n4 n=1 Converges Diverges

A: The series ∑n=1∞n2e-3n4. We have to check whether it is convergent or divergent.

Q: Use the Integral Test to determine if the series shown below convérges or diverges. Be sure to check…

A: Given ∑n=1∞4n2en4e

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