n52n 10n+1* n=1

Q: Use the Integral Test or a p-series to determine the convergence or divergence of the series.

A: The integral test can be used to determine the nature of the series. According to the integral test…

Q: Determine whether the following series converge.

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Q: 00 > sin(" n=1

A: We will use test of divergence here

Q: Use an appropriate test to determine whether the following series converges. 10 Σ k=1 k

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Q: Use the Root Test to determine the convergence or divergence of the given series or state that the…

A: Apply root test as following

Q: Σ Use the Direct Comparisơn Test to determine the convergence or divergence of the series. 00 1 Σ…

A: I have appended the formula used in the solution part.

Q: Use the Integral Test to determine the convergence or divergence of the following series, or state…

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Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the…

A: To find whether given series converges or not and if yes then find sum.

Q: Use an appropriate test to determine whether the following series converges. k 4k k=1

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Q: Use the comparison test to verify that the following series converges: 1 Σ n=15+n7

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Q: Determine whether the series converges or diverges. 00 Σ n- 1 n4n n= 1

A: We have to check that given series is convergent or not.

Q: Find the interval of convergence of the series R (-1)"g" n42?n

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Q: n² - 1 n=2

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Q: Apply the root test to check the convergence of the following series. -12 -32 *(+) (+1)* (;+1) + (†…

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Q: Apply D'Alembert's ratio test to examine the convergence of the following series: 3n-1 Un 5+n

A: By D'Alembert's ratio test we have to examine the convergence of the series ∑un=∑3n-15+n

Q: Use the ratio test to determine the radius of convergence of the series. の(2n)! n- 1 R =

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Q: Use the comparison test to verify that the following series converges: 1 Σ n =15+n4

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Q: Use the root test to determine whether the series 7n n6.5n+1 converges or diverges. n=1

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Q: Use an appropriate test to determine whether the following series converges. 7 Σ 3 k =1 VK

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Q: n+1 n5"

A: Given series is  ∑n=1∞−1n+1x−5nn5n

Q: Σ n" n! n=1

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Q: Determine whether the series converges or diverges. 5n + 3 n- 1

A: use limit comparison test to check the convergence

Q: Determine the Convergence Interval of the following series! (x – 3)" n² n=1

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Q: Use the Root Test to determine if the series converges or diverges In n n 9n-10 n-1

A: We can solve this as follows:

Q: (х — 3)" n2 n=1

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Q: Use a comparsion test to determine whether the following series converges or diverges. V2n2 +4n +1 Σ…

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Q: Use a convergence test of your choice to determine whether the following series converge.

A: The series is given as, S=∑k=1∞k22k-1! The general term is given as, an=n22n-1! Apply the Ratio…

Q: Use a convergence test of your choice to determine whether the following series converge.

A: Given series is ∑k=1∞ 5k22k+1.

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

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Q: Determine whether the following series converges or diverges. 4. (4k-3)(4k+1) k=3

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Q: Determine whether the following series converges or diverges. 7 n2" Input C for convergence and D…

A: Given series is ∑n=1∞7n2n

Q: Use a comparsion test to determine whether the following series converges or diverges. 5 2n° + 7 n=1…

A: Comparison Test:- Suppose we have two series  and  such that if  converges so does  if  diverges so…

Q: Use the Integral Test or a p-series to determine the convergence or divergence of the series

A: To check:  the convergence of ∑n=1∞ ln nn4

Q: Determine whether the following series is absolutely convergent or divergent. n n2 + 1 (-1)" 2n2 n=1

A: So by cauchy root test it is absolutely convergent.

Q: Use the Root Test to determine the convergence or divergence of the given series or state that the…

A:

Q: Apply the root test to check the convergence of the following series. (금프) 33 -2 44 -3 4 + .... 23…

A: To Determine: apply the root test to check the convergence  of the following series. Given: we have…

Q: Use a convergence test of your choice to determine whether the following series converge.

A: ∑k=1∞k2k+3k Here, ak=k2k+3k

Q: 1 Use the integral test to determine whether the series, converges or n In n n=2 diverges. Clearly…

A: The series ∑n=2∞1nlnn. We have to check whether the given series converges or diverges using the…

Q: Use an appropriate test to determine whether the following series converges. 8k k = 1 ek

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Q: Use a convergence test of your choice to determine whether the following series converge.

A: Given that : The series ∑k = 1∞ π2 - tan-1 k .

Q: 11.) Use the Ratio Test to determine the convergence or divergence of the series (n!)? (3n)! n=0

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Q: Use the ratio or root test to determine the convergence of each series.

A: Given series

Q: Use a convergence test of your choice to determine whether the following series converge.

A: We have ∑k=1∞k5 e-k That is, ak=k5ek and ak+1=(k+1)5ek+1

Q: Use an appropriate test to determine whether the following series converges. 0 4k +7 Σ k. k=1

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Q: Use the Root Test to determine the convergence or divergence of the series

A: ∑n=1∞n2n+1n Here, an=n2n+1n

Q: (n+2)(x+5)" Zn=1 n-6"

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Q: 1 n In n n=2

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Q: Use an appropriate test to determine whether the following series converges. 9k+19 Σ k k= 1

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Q: 1 (-1)" n5 n=1

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Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. 00 (- n =…

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