Consider the series 1 nº In n , where p > 0. Determine whether the series n=2 converges or diverges for p = 1. Show your analysis.

Q: Σ 2-In(n) n = 1

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Q: 4" 2.

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Q: ∞ Σ(-1)^²-¹ (2 −1) en n=1

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Q: Find all values of p for which the following series converges n vn+1 – Vn³ -n? +1 2nº +1 n=1

A: Explanation of the solution is given below....

Q: 2n + 3" 3И + 47 n=1

A: The given series ∑n=1∞2n+3n3n+4n The test used is ratio test . Let ∑n=1∞an be a series . Then…

Q: For what values of p is each series convergent? Op # -3 Op>0 Op> -3 for all P Op≥-3 ES n=1 (-1)^-1…

A: We have to find the value of .

Q: 2" (r+1)" n=0

A: We have to find the values for x which the series converges and Sum of the series for those values…

Q: Evaluate the series in order to determine if it is divergent or convergent when k=constant.

A: Consider the given series

Q: Create your own example of a convergent series for which you use the basic comparison test. Make…

A: To Do: Create an example of a convergent series and use the basic comparison test. And give a proper…

Q: timate the series n=1 (-1)" 2n - 5n to within an accuracy of 0.5.

A: To

Q: 00 (n + 4)x" 2" + n n=0

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Q: n-1 3 n=1 n° +1

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Q: Comparison ust

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Q: 2 Eualuate the inteyral 22 -- taken. throughout the volume • f sphere

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Q: Estimate the series Σ n=1 (-1)" to within an accuracy of 0.01

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Q: n E(-1) n n=1

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Q: Q.4 - Determine whether the series converges, find its sum. converges or diverges. If it n=1

A: To determine whether the given series converges or diverges .  If it converges then to find the sum.…