Approximate the sum of the series correct to four decimal places. (-1)" 5"n! n = 1 Submit Answer

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A: Performing ratio test to check for convergence.

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Q: Approximate the sum of the series correct to four decimal places. (-1)" 3"n!

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A: Let's calculate radius of convergence and interval of convergence of the given series.

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A: First of all, consider the given series and the nth term an. Also, consider the formula for the…

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A: We will use the ratio test

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Q: a) ΣΣ п n=0

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Q: Approximate the sum of the series correct to four decimal places. (-1)" 5"n! n = 1

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Q: 6" 5" – 1 n=1 8.

A: ∑n=1∞6n5n-1

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A: Explanation of the answer is as follows

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Q: Determine whether the series converges or diverges. Explain your answer. 7 + sin(n) n = 0

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Q: Approximate the sum of the series correct to four decimal places. (-1)"n 10" n = 1

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A: Answer: the solution is given below as :

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A: Ratio test:

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A: use exponential function as taylor series

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Q: Find the radius of convergence and interval of convergence of the series. (Enter your answer as an…

A: Given,∑n=1∞ 6n (x+5)nnLet the Given series be∑n=1∞an(x+5)nwhere an=6nnand an+1=6n+1n+1Now let R be…

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