Let an (2n³ + 1) sinn n² +1 (1) Does the sequence (2) Does the series n=1 n² + 1 (2n³ + 1) sinn n¹ + 1 nu converge? If so, to what value? [Select] converge? [Select]

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

A: The given sum is: ∑n=1∞21nn+3 Split the summand using partial fraction. Let 21nn+3=An+Bn+3. Using…

Q: 1. Determine if each series converges or diverges, you can use any of the tests discussed in class.…

A: a) ∑n=1∞3nen-1b) ∑n=1∞1+3n2nc) ∑n=3∞3n-14n

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Q: n52n n+1 n=1

A: The given series is ∑n=1∞n52n10n+1 which is of the form ∑n=1∞an where an=n52n10n+1. Obtain an+1 as…

Q: True or false: The sequence True False {FL √√n=1 converges.

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Q: Find the sum of the series. Σ 5(-1)"72n + 1 32n + 1(2n + 1)! n = 0

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Q: Determine whether or not the infinite series below converges.

A: Given series

Q: n=3 (−1)n+1 22n+1

A: As per our guidelines we can only solve one question and rest of the question will be reposted.

Q: Determine if the series converges or diverges.

A: Refer to explanation block Explanation:

Q: Help me out on this question ()$)

A: Step 1: expansion of series  Step 2: checking the value of r Step 3: r>1  Step 4: divergence

Q: 3 ·Ỹ (²³)". n=0 Consider the series Σ a. The first four terms in the sequence of partial sums for…

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Q: Determine whether the series + 5 25 + 625 is convergent or divergent.If ... 125 it is convergent,…

A: This is a geometric infinite series by ratio test we will  calculate convergence

Q: Find the nth term an of the given infinite series for which n = 1, 2, 3,... 1 12 1 9 + 1 10 + 1 11 +

A: Given

Q: Find the domain of the power series. If the answer is an interval, enter the largest open interval…

A: ∑n=1∞n!x+2n1·3·5·..·2n-1