Use the Integral Test to determine whether the series shown below converges or diverges. Be sure to check that the conditions of the Integral Test are satisfied. 5 Σ²-40 n=1

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: Σ >(-1)* cos(2kt) k=1

A: Given: ∑k=1∞ -1k cos2kπ To determine: Given series is convergent or divergent.

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

A:

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: 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.…