Determine whether the following series converge conditionally, converge absolutely, or diverge. State which test(s) and/or result(s) you are using to come to your conclusions, and verify the conditions of any test(s) being used. (b) Σ(-1)", n=2 n+1

Q: k と(-1)* k2 +1 k=1

A: LEIBNITZ TEST According to this test, a series of the form ∑k=1∞-1k·ak ; ak>0 will be converging…

Q: 2. Use the divergence test to determine whether the following series converges or state that it…

A:

Q: Determine whether the following series converge or diverge. n=1 n² (2n² + 2)²

A: Let ∑n=0∞un be an infinite series. Then If limn→∞un1/n<1 , then series is convergent. If…

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: 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: (b) Determine whether each of the following series converges or diverges. Write up your answer…

A:

Q: (-1)a+1, n² + 10 n n=1 n! n=1

A:

Q: Determine whether the following series converges or diverges. n=1 n 6 + Inn (-1)"-

A:

Q: Show whether the series converges or diverges, and state the test used to make this determination. ∞…

A:

Q: Зп? + 4n E(-1)"-1, 5n? - п + 2 n=1

A:

Q: (ii) (iii) Σ(-3) n=1 n=1 2 7+2 12 η2 +η

A: The given series are ii) ∑n=1∞-27n+2 iii) ∑n=1∞12n2+n. We have to find the convergence of the series…

Q: 6. Determine whether the following series converge conditionally, converge absolutely, or diverge.…

A:

Q: n + 3 E(-1)". n3 + 1 n=0

A: