Σ (In (n))² n n=1

Q: (2n + 3) sin -n=2 In n

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Q: Determine whether the series is convergent or divergent by expressing s, as a telescoping sum. n2 +…

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Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use ca…

A: To find the limit and convergence of the given series.

Q: n sin n, n=1

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Q: etermine whether the series is convergent or divergent by expressing sn as a telescoping su in 9 In…

A: We have to show that series is convergent or divergent.

Q: Use the nth term test to show that the series is divergent, or state that the test is inconclusive n…

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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: Determine whether the series is convergent or divergent by expressing s, as a telescoping sum Σ 18…

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Q: e the Root Test to determine the convergence or divergence of the series. 7n? +1 102- 1 diverges…

A: Answer for this problem is

Q: 2. Determine whether the following series is convergent or divergent. Explain by giving the name of…

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Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use co…

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Q: 1 52. > k=2 k² In k

A: Using comparison and p-test.

Q: 2. Determine whether the following series is convergent or divergent. Explain by giving the name of…

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Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use co…

A: Root Test : Consider the positive term series ∑ an . Define,         L= limn→∞  ann= limn→∞ an1n ,…

Q: Determine whether the series is convergent or divergent by expressing s, as a telescoping sum. 00 n2…

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Q: Determine if the series is convergent or divergent. Show your work, and clearly state the test used…

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Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is…

A: ∑n=0∞-1n24n2n+1! Here, an=-1n24n2n+1!⇒an+1=-1n+124n+12n+1+1!⇒an+1=-1n+124n+42n+3!

Q: Σ + 1 + sin2 η 10η n=1

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Q: use the nth-Term Test for divergence to show that the series is divergent, or state that the test is…

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Q: 19.Use geometric series to represe nt the FuncHion n F(x)= 5 as power こ 3-X series about

A: Solve the following

Q: Σ n +1 nyn + Vn | sin n| n=1

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. 9n n = 1 Identify an-

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Q: Determine and justify whether the series is convergent or divergent.

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Q: 3. Determine whether the series below converges or diverges using the test that you think is easy!…

A: Solved below

Q: Σ n=1 sin n n2 + 10

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Q: (2n)! Σ (2n)!

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Q: First, write this series in Sigma Notation (copy it to your own paper): 1 3 4 5. + ... 10 17 26…

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Q: Determine whether the series is convergent or divergent by expressing s, as a telescoping sum. 2 ,2…

A: We will use Sequence of partial sums to solve this

Q: Determine whether the given series is convergent or divergent. Justify your answers

A: To determine whether the below series is convergent or divergent. ∑n=3∞ 2n3

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

A: Use root test to check the convergence of series.

Q: Determine whether the series is convegent or divergent. If it is Convergent, find its Sum. 3, 11,…

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Q: Determine whether the series is convergent or divergent. Write the exact TEST that you use. 9. ens…

A: D'Alembert Test: Let ∑n=1∞un be a series of real numbers such that limn→∞un+1un=LThen if L<1…

Q: n! 82 n D1

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Q: Determine is the series is absolutely convergent, conditionally convergent, divergent. Show your…

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Q: Determine whether the series is convergent or divergent by expressing s, as a telescoping sum (as in…

A: The given series is ∑n=1∞e7n-e7n+1. Obtain the sum as follows.

Q: use the nth-Term Test for divergence to show that the series is divergent, or state that the test is…

A: Given: The series . nth term of the series is

Q: n²+n 100 Ln=1 3n4-2n-1 !-2n–1

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

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Q: Determine if the series is convergent or divergent. Show your work, and clearly state the test used…

A: Given series:  ∑n=1∞1(n+1)!-n! We have to check whether the series converges or diverges. Ratio test…

Q: Use the Test of Divergence to determine whether the series is convergent or divergent. If it is…

A: To find out that the given series is divergent or convergent.

Q: Determine whether the series converges or diverges. n + 5 I 1 O converges O diverges

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Q: Determine whether the series is convergent or divergent. Explain which test you use and which…

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Q: Use the Test of Divergence to determine whether the series is convergent or divergent. If it is…

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Q: Use the nth term test to show that the series is divergent, or state that the test is inconclusive n…

A: We have to use the nth term test to show that the series is divergent, or state that the test is…

Q: 1) Use the Integral Test to determine whether the series 1 is convergent or divergent. (Зп — 1)? c)…

A: The given series ∑n=1∞1(3n-1)2

Q: Use the Ratio Test to determine whether the series is convergent or divergent. If it is convergent,…

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

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Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is…

A: To determine whether the given series is convergent or not.

Q: Determine whether the series is convergent or divergent by expressing s, as a telescoping sum (as in…

A: The solution are next step...