1 Use the root test to determine whether the series 2 4 8. ++ converges or ... diverges. 2 32 54 + +

Q: Determine whether the series ∞∑n=13n/n2 converges or diverges.

A: We will apply Ratio Test to check for the convergence of given series:Ratio Test: Suppose we have…

Q: Prove whether the series Σ (n!)² n" n=1 converges or diverges.

A: we have to determine whether the given series is convergent or divergent

Q: 8. Find the value of p for which the series 2n Inn (In (In n))" is convergent. n=3

A: the given series,        ∑n=3∞1n ln n.lnln n p

Q: Determine if the series 2 converges or diverges and state which test can be used to support that…

A: To find whether the series in convergence or divergence

Q: Determine the convergence or divergence of the series.

A: For a series if the limit ; then the series diverges. The given series is where the general term…

Q: 3. Determine whether or not the series converges. Justify your conclusion. 86 Σ n=1 n² - 2n n³ + 3n+…

A: Solution is given below:

Q: ) converges or diverges. Determine whether the series 00 n%3D1 n+3 n+4,

A: Apply telescoping series test and find whether the series is converges or not.Consider the Given…

Q: Determine whether the series converges + 4 00 k + 8 k%3D1

A: Find your answer below

Q: Determine the convergence or divergence of the series

A: Given: Following series: To Determine: Convergence or Divergence of the given series. Concept Used:…

Q: 15. Use the ratio test or root test to determine whether the series below converges or diverges. п!…

A:

Q: (n!)2 (2n)! n=1

A:

Q: 1 converges. 2. Use the comparison test to determine whether the series 13" +1 n=1

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Use an appropriate test to determine whether the series converges. Σ k=1 By the 9 k 12 9 this series

A: Please see the below picture for detailed solution.

Q: Determine the convergence or divergence of the series

A: ∑n=1∞3nn3 Here, an=3nn3⇒an+1=3n+1n+13

Q: 2) Use a comparison test to determine whether the infinite series S n2 n+ n2+ n5/2 converges or…

A:

Q: Determine the convergence or divergence of the series.

A:

Q: Determine if the series 2 2 2n converges or diverges and state which test can be used to support…

A:

Q: 3. Use the Ratio Test to determine whether the series en! converges or diverges. State n=1 if the…

A: The solution is given as

Q: 6. Use the Ratio Test to determine if the series converges or diverges. n¹⁰2n n! n=1

A:

Q: 3* +2* Determine whether the series converges. If so, find its sum. 22k k =1

A:

Q: 17. Use the Root test to determine whether the series converges or diverges 2n=1 - 5 4n + 3\n

A:

Q: Determine the convergence or divergence of the series. 2) Σ (-1)" In n=1

A:

Q: 9. Use the alternating series test to determine whether 2(-1)"ne-" converges or diverges. n=1

A:

Q: Determine whether the series converges. >7k-1.01 k=5

A:

Q: 11) Use the Ratio Test to determine whether the series converges or diverges. (-4)2n n2 n=1 IM:

A:

Q: Doesthe series * 2n Converge or diverge フー一 30-2

A:

Q: 9. Use the alternating series test to determine whether >(-1)"ne -n e converges or diverges. n=1

A:

Q: Determine whether the series converges or diverges. n+5 Σ n = 11 (n + -6)5

A:

Q: 3" Use the Ratio Test to determine whether the series is convergent or divergent. En=1 (2n)!

A:

Q: Determine whether the series ∞∑n=13n−1/2n3−4n+5 converges or diverges.

A:

Q: n! 2.5.8...(3n+2) n=0

A:

Q: 5. Use the Integral test to determine whether the series k converges or diverges Ak*+1 You do not…

A:

Q: Determine whether the series 2 (n + 1)/n converges or diverges. n= 1

A: Given: ∑n=1∞n+1nTo check whether the given series is convergent or divergent Comparison Test:…

Q: - Apply a test to determine whether the series 2 3" converges or diverges. n=1

A: We can use the ratio test here Since L>1 , so this series diverges.

Q: 3 9) Determine whether the series 1- diverges. converges or n=1 8

A:

Q: 1 (ii) 2n=2 13+1 100

A:

Q: Determine whether the series ∞∑n=1n2/n3−3 converges or diverges.

A: Given:

Q: n+1 2n=1 n(n+2)

A:

Q: 2) Use a comparison test to determine whether the infinite series n2 converges or diverges. n+ n2 +…

A:

Q: Determine whether the series converges. The series 8 k=1 13 15k

A:

Q: 2. Show that the series is conditionally convergent: n 2(-1)"-1, n2 1 n=2 For what values of p does…

A:

Q: (Зп)! 33п п! (п + 1)! (п + 3)! n=1

A: We determine whether the series diverges or converges.

Q: Determine the convergence or divergence of the series

A: Given: A series ∑n=1∞ln1n To determine the convergence or divergence take the limit of ln1nfor n→∞…

Q: Use an appropriate test to determine whether the series converges. Σ k=4 3 1 -6k+24

A: Given series is ∑k=4∞1k3 - 6k + 24

Q: 10.2 Determine whether the series n? – 4n +1 n3 + 2n? n=1 converges or diverges.

A: We have to solve given problem:

Q: Determine whether the series n1-3n converges or diverges. n=0

A: