Use the alternating series test, the ratio test, or comparison with another series, as appropriate, to decide which of the following series are convergent, stating in each case which test you are applying: i. (-1)+1 p² +3 P+2

Q: Consider the following series. √n +7 n = 1 The series is equivalent to the sum of two p-series. Find…

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Q: For this problem, type your answers directly into the provided text box. You may use the equation…

A: Consider the series ∑n=1∞nn+3. To determine whether the given series converges or diverges. Let us…

Q: Σ 2-In(n) n = 1

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Q: Determine whether the following series converge. You do not need to calculate their values. IM8 (-1)…

A: Determine whether the following series converge.

Q: Determine whether the following series converges. 00 k2 +5 k=2

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Q: Use the Comparison or the Limit Comparison test to show convergence or divergence of each series.…

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Q: Show that the series converges.  What is the value of the series?   from n=2 to infinity.…

A: We have to Show that the series converges.  What is the value of the series?Series is given below:

Q: Determine whether the following series converges. 00 - k2 + 5 k 2

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Q: Identify

A: We use Root test.

Q: For the following power series, determine if convergent. If convergent, find the radius of…

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Q: Зп? + 4n E(-1)"-1, 5n? - п + 2 n=1

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Q: 3n2 + 2n Σ n3 + n² + 1 n=1

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Q: n-1 -1)' n² + 1 n=1

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