п Σο- n=1 5n

Q: 2n (b) E ens n=1

A: Find the limit of the given equation at infinity

Q: Determine whether the series converges, and if so find its sum. 4k+2 Σ 7k-1 k=1

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Q: E(-1)" 2'/n n=1

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Q: Determine whether the series converges absolutely or conditionally, or diverges.

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Q: state whether the series converges or diverges

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Q: Determine whether each series converges or diverges. If it converges, find its sums n2 n%=D1 en/3

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Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say…

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Q: (-5)" Σ 16п+2 n=2

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Q: (2n)! 5n+1(n!)2 n=1

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Q: Determine whether the series converges or diverges n=D1

A: Ratio test: The series ∑n=1∞an converges if L=limn→∞an+1an<1 and diverges if  L=limn→∞an+1an>1…

Q: Determine whether the series converges or diverges.

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Q: state whether the series converges or diverges

A: Apply ratio test and check weather series is convergent or divergent.

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

A: use limit comparison test to check the convergence

Q: Evaluate the series or state that it diverges.

A: Given ∑k=1∞(-2)k3k+1

Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say…

A: Given :∑k=1∞k!k6

Q: Determine if the series converges absolutely, converges, or diverges. (-1)n Σ n=2 Vn2 -1

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Q: Determine whether the series converges or diverges. If it is convergent, find the sum. (n + 6)(n +…

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Q: Determine whether the series converges or diverges. If it is convergent, find the sum. (If the…

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Q: Use the ratio test to determine whether the series converges or diverges. If the test is…

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Q: E(-1)". –1)" 5n n=1

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Q: Determine if the series below converges or diverges. If it converges, determine what to do.

A: Leibnitz test: If the alternative series, u1 - u2 + u3 – u4 + … (un > 0, for all n) is such that

Q: Determine whether the series converges absolutely or conditionally, or diverges.

A: Given: ∑n=1∞ -1nn! To determine: Given series is convergent (absolutely or conditionally) or…

Q: 2k+4 k=1 7kー1

A: We determine whether the series converges, and if so find its sum

Q: n (n2 + 1)2 n=1

A:

Q: Use the ratio test to determine whether the series converges or diverges. If the test is…

A: This question is related to sequence and series, we will solve it using ratio test.

Q: Use the root test to determine if the series converges or diverges. n- n=1 7 n

A: Given: ∑n=1∞1n2-1n7n   Root test for series: For Series ∑n=0∞an suppose limn→∞(an)1n=L then 1)Series…

Q: Use an appropriate test to determine if the series converges or diverges. Σ Vn? + 1 n3 + n? 2=1

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Q: Determine whether the series converges or diverges. 00 n + 4 Σ n10 3 n = 1

A: Explanation of the answer is as follows

Q: Find the next two terms of the series and determine whether or not the following infinite series…

A: The next two terms are 1/√5 and 1/√6

Q: 00 Σ 9 1 + 1/n in n = 4

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Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say…

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Q: 1 1 + 1 + V4 S. =1+ +... %3D V3 8.

A: Given query is to find the next terms of the series.

Q: 4k+4 k=1 7k-1

A: Given: The series ∑k=1∞4k+47k-1, To determine: The sum of the series if it is convergent.

Q: Determine if the series converges absolutely, converges, or diverges. 00 Σ (-1)n 2n1/4 n=1

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Q: Determine whether the series converges or diverges: k3 3k k=1

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Q: Determine whether the series converges or diverges. E(-1)n + 1. n* + 16 n = 1 1.

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Q: 1 1 1 S. =1+ + +... 00 V2 +

A: We have to solve the problem

Q: Use the root test to determine whether the series converges. If the test is inconclusive, then say…

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Q: Determine whether the series converges or diverges. If it converges, find its sum. V13 n=0

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Q: Use an appropriate test to determine whether the series given below converges or diverges. 00 2n Σ…

A: We can test the convergence as below.

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent: 00…

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Q: determine whether the series converges absolutely. If it does not, determine whether it converges…

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Q: e8/n Σ 7 = 1

A: Given query is to find series converges or diverges.

Q: I M8

A: now the given function is  f(n)= ln(n)n-ln(n) now take limit =limn→∞f(n) =limn→∞ln(n)n-ln(n) by…

Q: Use any test to determine whether the series is absolutely convergent, conditionally convergent, or…

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