Use an appropriate test to determine whether the following series converges. 00 12 Σ 4. k=1 k

Q: Number 7e help me

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Q: Σ n=3 nV

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Q: Q7. Determine whether the following series converges absolutely, converges conditionally, or…

A: The solution is given as

Q: Determine if the following series converges. Explain your reasoning. sin(k) k2 k=1 8WI

A: Calculating the limit of the series as k tends to infinity.

Q: 5. Determine whether the following series converges or diverges, and prove your answer: n 2n-j n=1

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Q: Q2. Show that whether the following series converges or diverges n! n=1

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Q: The series 00 1 + Vn? 1 + Vna n=1 is convergent if and only if: Select one: Oa. 72 a > Ob. 35 a 4…

A: (.)   The given series is ,                                                        ∑n=1∞1+n281+na7…

Q: 00 (-1)" Ln-1 n п — n=2

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Q: (b) Determine whether each of the following series converges or diverges. Write up your answer…

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Q: Use a convergence test of your choice to determine whether the following series converge.

A: The trigonometric functions can be written as the functions of ex and e-x, thus write sech k  as…

Q: M8. following diverge for the values of p. hetermine whether the series oonverge n=3

A: We have to solve given problem:

Q: +∞ Σ x=1 -6 8 3-x 2x

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Q: WE Σ n=1 4 3" +1

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

Q: Identify

A: We use Root test.

Q: 9: Show that the following series converges and find its sum. 1 (2k-1)²* k=1

A: Given series: ∑k=1∞12k-12 To check: The convergency of the series. To find:  Sum of the series.…