Test the series below for convergence using the Root Test. 7n 2n + 1 n=1 The limit of the root test simplifies to lim |f(n)| where n- 00 f(n) = The limit is: (enter oo for infinity if needed) Based on this, the series Diverges O Converges

Q: Test the series below for convergence using the Root Test. Зп + 1 Σ 2n + 4 n=1 The limit of the root…

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Q: Test the series below for convergence using the Root Test. 6n 5n + 4 n=1 The limit of the root test…

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Q: Test the series below for convergence using the Root Test. ( 2n +5 3n+3 The limit of the root test…

A: Root Test : For a series ∑f(n) ,  1. if limn→∞f(n)1/n<1 then the series is convergent and 2. if…

Q: Test the series for convergence or divergence. (-1)n+1 Σ n=0 Vn+2 Evaluate the following limit. lim…

A: We have to find the following conditions according to the given information

Q: Test the series below for convergence using the Ratio Test. 0.8 n=1 The limit of the ratio test…

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Q: Test the series below for convergence using the Root Test. Σ 5n + 1 4n + 2 n=1 The limit of the root…

A: |an|^(1/n) we have to find in root test. And if that limit less than 1 then converge. It greater…

Q: Test the series below for convergence using the ratio test. n2 Σ 1.5" n=1 The limit of the ratio…

A: f(n)=n2/1.5n

Q: Test the series below for convergence using the Root Test. 8n 4n + 1 n=1 The limit of the root test…

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Q: Test the series below for convergence using the Root Test. n 8n? 10n + 5 n=1 The limit of the root…

A: Given series is ∑n=1∞8n210n+5n Here  an=8n210n+5nan1n=8n210n+5 Take , f(n)=an1n=8n210n+5

Q: Test the series below for convergence: n2n n=2 (In(n))" The limit of the root test simplifies to lim…

A: Let an=n2nlnnn Using Root test, consider limn→∞an1/n=L . Then, if  (i) L<1 , the series ∑n=1∞anis…

Q: Test the series below for convergence using the Ratio Test. n + 5 33n + 2 T=1 The limit of the ratio…

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Q: Test the series below for convergence using the Ratio Test. (- 1)"92n+1 Σ (2n + 1)! n=0 The limit of…

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Q: Test the series below for convergence using the Root Test. 10n 5n + 4 n=1 The limit of the root test…

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Q: Test the series below for convergence using the Root Test. 2n +2 Зп + 3 n=1 The limit of the root…

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Q: Test the series below for convergence using the Root Test. Σ 4n 7n + 4 n=1 The limit of the root…

A: In root test , When limit is less than 1 , the series converges.

Q: Test the series below for convergence using the Root Test. 2n + 6 4n + 2 n=1 The limit of the root…

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

Q: Test the series below for convergence using the Root Test. 8n 5n + 5 The limit of the root test…

A: We will use the root test to find the root test limit and  convergence or divergence of the given…

Q: Test the series below for convergence using the Root Test. 3n (7n +1 n=1 The limit of the root test…

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Q: Test the series below for convergence using the Ratio Test. (-1)"42n+1 (2n + 1)! Σ n=0 The limit of…

A: Given :∑n=0∞-1n42n+12n+1!

Q: Test the series below for convergence using the ratio test. n+ 2 24n +1 n=1 The limit of the ratio…

A: Given: ∑n=1∞ n+224n+1where f(n)= n+224n+1Ratio test : l=limn→∞ an+1anif l<1 then the series is…

Q: Test the series below for convergence using the ratio test. n + 5 22n+1 n=1 The limit of the ratio…

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Q: Test the series below for convergence using the Ratio Test. n3 0.9" n=1 The limit of the ratio test…

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Q: Test the series below for convergence using the Ratio Test. 0.5" n=1 The limit of the ratio test…

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Q: Test the series below for convergence using the Ratio Test. 0.6" n=1 The limit of the ratio test…

A: Solution

Q: Test the series below for convergence using the Root Test. 00 2n 7n + 3 n=1 The limit of the root…

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Q: Test the series below for convergence using the Ratio Test. 2n n! n=1 The limit of the ratio test…

A: According to question,Given series:∑n=1∞ 2nn!

Q: Test the series below for convergence using the Ratio Test. n+ 2 34n +3 n=1 The limit of the ratio…

A: To determine the series converges.

Q: Test the series below for convergence using the Ratio Test. n! The limit of the ratio test…

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Q: Test the series below for convergence using the Ratio Test. n+5 53n+3 n=1 The limit of the ratio…

A: image is attached

Q: Test the series below for convergence using the Root Test. n 2n Σ бп + 5 n=1 The limit of the root…

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Q: Test the series below for convergence using the Root Test. n2n (In(n))" n=2 The limit of the root…

A: To solve thsi question we will apply the concept of root test and limit.

Q: Test the series below for convergence using the Root Test. Σ 3n 7n + 5 The limit of the root test…

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Q: Test the series below for convergence using the Ratio Test. 0.7h n-1 The limit of the ratio test…

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Q: Test the series below for convergence using the Ratio Test. In(n) 6h n=2 The limit of the ratio test…

A: There are many methods to find the convergence and divergence of a series. One among such method is…

Q: Test the series below for convergence using the Ratio Test. n+5 52n +4 The limit of the ratio test…

A: Given

Q: Test the series below for convergence using the Ratio Test. n2 1.3" n=1 The limit of the ratio test…

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Q: Test the series below for convergence using the Ratio Test. п! n=1 The limit of the ratio test…

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Q: Test the series below for convergence using the Root Tes 2n 7n +4 TL The limit of the root test…

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Q: Test the series below for convergence using the Root Test. 4n 8n + 2 n=1 The limit of the root test…

A: Given that ∑n=1  ∞4n8n+2n test the series using Cauchy’s root test

Q: Test the series below for convergence using the Root Test. 10n 5n +5 n=1 The limit of the root test…

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Q: Test the series below for convergence using the Ratio Test. n + 3 42n +1 n=1 The limit of the ratio…

A: Solution is given below:

Q: Test the series below for convergence using the Root Test. 5n + 4 2n + 2 n=1 The limit of the root…

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Q: Test the series below for convergence using the Root Test. 3n 7n + 1 n=1 (a) Simplify the radical in…

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Q: Test the series below for convergence using the Ratio Test. n+ 4 44n+3 n=1 The limit of the ratio…

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Q: Test the series below for convergence using the Root Test. 6n? 4n + 4 n=D1 The limit of the root…

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Q: Test the series below for convergence using the Ratio Test. Σ (- 1)"82n +1 (2n + 1)! n=0 The limit…

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Q: Test the series below for convergence using the Root Test. 5n +1' 4n + 2 n=1 The limit of the root…

A: ∑n=1∞5n+14n+2n

Q: Test the series below for convergence using the Ratio Test. n5 0.6" n=1 The limit of the ratio test…

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Q: Test the series below for convergence using the Root Test. 4n (1T0n +2) n=1 The limit of the root…

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Q: 4n Find the limit of the sequence an = 4n and then determine if the Divergence Test applies to the…

A: By using statement of divergence test for series we solve the given problem.