By the alternating series test, the series 2(-1)*+1 k(k+8) 2 k(k + 8) First find the partial fraction decomposition of 2 k(k + 8) Then find the limit of the partial sums. 2(-1)*+1 k(k + 8) Enter your answer for the sum as a reduced fraction. converges. Find its sum.

Q: Besides geometric series, what other convergent and divergent series do you know?

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Q: 2. ク

A: Convergence of the seriese

Q: Find the sum of the converges series: (i /3). (A) -3 9i 10 (C) 9 31 10 (B) 943i 10 9 3i (D) 10

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Q: 5. Does the series n=1 n+2n+1 converge? Explain. Upload Choose a File Question 6 6. Does the series…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Approximate the sum of the series to four decimal places. (-1)^-1 7 (2n-1)! Select the correct…

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Q: Give an example of a convergent infinite series whose sum equals 2/11 . Explain how you know that…

A: To find the series which is convergent and whose sum is 211

Q: Find the first five terms of a power series for e*. +4

A: This question is based on power series expansion of ex.

Q: (-1)* Estimate the value of the convergent series with an absolute error less than 10-5. k! + 2 k=1

A: Solution is given below:

Q: Determine whether the series is convergent or divergent. Also, find the sum of the series if it is…

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Q: 三 (+ ク 2の+) りっl (ーリ ミMp

A: concepts:

Q: How do you define a power series centered at x = a? and centered at x = 0.? Give an example of each.

A: We will define a power series with centred at x=a is