Use the Direct Comparison Test or the Limit Comparison Test to determine the convergence or divergence of the series. 1.3· 5 ...(2n – 1) 2.4.6 ..-(2n) n = 1 converges O diverges

Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. Σ 00 n? n =…

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Q: Use the Direct Comparison Test to determine the convergence or divergence of the series.

A: To determine the convergence or divergence of the series using Direct comparison test. ∑n = 1∞…

Q: Use the Direct Comparison Test or the Limit Comparison Test to determine the convergence or…

A: We have given series  ∑n=1∞n+1nn+2 let ∑n=1∞an=∑n=1∞n+1nn+2 Then, an=n+1nn+2=n1+1nn21+2n=1+1nn1+2n

Q: (3х — 2)" 4. n=1

A: Given:           ∑n=1∞ 3x-2nn   By ratio test,        limn→∞an+1an =limn→∞xn+1n+1·nxn   where x =…

Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 1 3n7 + 8 n…

A: Given series is ∑n=1∞13n7+8. We have to check whether the series ∑n=1∞13n7+8 is converges or…

Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. Σ 1 3n + 4…

A: Given : ∑n=1∞13n4+4

Q: 1 と+3 k=1

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Q: 3n2 +n Use the limit comparison test to determine whether the series Vn3 + 7 n=1 converges or…

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Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 00 n = 0 n!…

A: We have to check

Q: I· e* + 1 Σ e2 . n2k + e2k k=1

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Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 外日。…

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Q: Q1(a) Using the Limit Comparison Test, check whether the given series converges or diverges: (2n3 +…

A: Since you have asked multiple questions, we will answer the first one. If you want other questions…

Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 3n + 4 n= 1…

A: We will solve problems by comparison test.

Q: Determine convergence or divergence of the alternating series. +1S(n+1)3/2 n3/2,1 00 n=1 O Converges…

A: this is divergent

Q: (3k³ + 4)(7k² + 1) (2k³ + 1)(4k³ – 1) 21. E k=1

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Q: use the comparison test or the limit comparison test to determine whether the series is convergent…

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Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. Σ 4n 3n - 1…

A: The given series

Q: If you apply the direct comparison test to assess convergence of 1 to which of these series would…

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Q: Use the Comparison Test to determine whether the series converges. ∞ Σ k=1 1 3 7k³ +7 The Comparison…

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Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 5n 6n + 3 n…

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Q: Use the Comparison Test to determine whether the series converges or diverges. 2n n=1 2n 5n3 + 6…

A: Explanation of the answer is as follows

Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. 6 + 1 n = 1…

A: Given : Limit function is given Where an = 6 / (6n + 1)

Q: Use the Comparison Test or Limit Comparison Test to determine if the series converges. n² Σ.. n² + 4…

A: Suppose that we have two series ∑an and ∑bn with an,bn≥0 for all n and an≤bn for all n. Then,  1) If…

Q: n² +2 4. Use a comparison test to determine if the series converges or diverges. n=1

A: Follow the steps.

Q: Using the Limit Comparison Test, check whether the given series converges or diverges: (2n³ + 5n +…

A: We have to construct a such bn for which limit comparison test hold

Q: n!(2n)! Use the ratio test to determine whether the series -1 converges or (3n)! diverges.

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Q: Use the Limit Comparison Test to determine the convergence or divergence of the series.

A: We have to find the given series is convergence or divergence.

Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. Σ 3n + 6 n…

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Q: the Limit Comparison Test to determine the convergence or divergence of the series. 00 1 n*(n4 + 2)…

A: Limit form of comparison test

Q: Σ 1 n2(n2 + 2) n = 1 1 n2(n2 + 2) lim = L> 0 n- 00

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Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 1 n! n = 0…

A: By using the Direct Comparison Test to determine the convergence or divergence of the given…

Q: 3n? +n Use the limit comparison test to determine whether the series Vn³ + 7 n=1 converges or…

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Q: Vk k? + 3 k=1

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Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 00 1 3n3 n…

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Q: Ratio Test is the most suitable test to determine whether the following series converges or diverges…

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Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. + 2 n = 0…

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Q: e the Direct Comparison Test to determine the convergence or divergence of the series. 5n 4n - 1 n =…

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Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 00 5 + n 4n…

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Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 3n +1 n = 0…

A: ∑n=0∞3n4n+1

Q: Vn? +4 6n? –n -1

A: A detailed solution is given below

Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 1 Σ 3n2 + 6…

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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: Use the Comparison Test to determine whether the series converges or diverges. 6n3 + 2 n=1 n 6n3 + 2…

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Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 1 Σ 3n9 + 4…

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Q: Use the Direct Comparison Test to determine the convergence or divergence of the series 00 Σ n = 0 8…

A: This is a problem of series calculation. By using direct comparison test we will define the nature…

Q: Use the Direct Comparison Test to determine the convergence or divergence of the series.

A: Solution: Consider the given series is: ∑n=1∞12n-1  Let  0 ≤ an ⩽ bn  ∀n , thenIf ∑n=1∞bn converges…

Q: Use the Direct Comparison Test to determine the convergence or divergence of the series.

A: Given:∑n=0∞e-n2