Use the Ratio or Root Test to determine the convergence or divergence of the series. 5n-1 40 +7 n=1

Q: 31. n! it n n =D1 n = 1

A: The given power series,   ∑n=1∞n!nnxn

Q: 41. Σ(1+1) της

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Q: Ide being used. n'

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Q: Use the ratio test to determine convergence or divergence. If the ratio test is inconclusive, use…

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Q: n! h) E п n3' n=1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the radii of convergence and the range of convergence

A: Here we have to use root test first.

Q: 14. Find the interval and radius of converence for 3x √n+1 n=0

A: The given series is:∑n=0∞ (-3)nxnn+1

Q: What are the Ratio and Root Tests? Do they always give you the information you need to determine…

A: A mathematical series can be convergent or divergent subject to certain conditions. Ratio test and…

Q: (-1)"(n² /n +3) (х-5)" 2" (n° +2) 3 n=1

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Q: Σ=1[5(3)" 5 (3)" – 21 ically

A: