QUESTION 3 1 The series E is n=1 (3n - 2)(3n + 1) lim sn = convergent 3. OI. n+ 00 O I. lim sn = convergent 2 n+ 00 O I. lim sn = ∞ divergent

Q: Consider the function 1 1- x4 Write a partial sum for the power series which represents this…

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Q: UESTION 13 The integral test can be used to determine whether or not E, =1 1 converges. O True o…

A: Since you have asked multiple question,as per our guidelines we are supposed to answer only one…

Q: If we differentiate the power series 12n+1 79 E(-1)n+1. %3D (2n + 1)! 3! 5! 7! 9! the resulting…

A: We will use Taylor's series expansion to find resulting power series.

Q: Find the series' interval of convergence and, within this interval, the surm of the series as a…

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Q: QUESTION 5 an+1 Assume thatlim an 1 does the series > 2"a, converge or diverges? n =1

A: For the series of the form, ∑n=1∞an according to the Ratio test,  check  for

Q: Test the series for convergence or divergence. n2 E(-1)" + 1, 3 + 11 n = 1 O converges diverges

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Q: ∞ (−1)n n ln(n) 6. The series (a) is Absolutely Convergent (b) is Conditionally Convergent, but not…

A: Solution:-

Q: e) Determine its limit an 1+8 an-1 %3D with do = 0

A: Since you have asked multiple questions but according to our company's guidelines I can only answer…

Q: Question 2 Let E a, be a series of monotone decreasing positive numbers. Prove that a, converges iff…

A: Let ∑n=1∞an be a series of monotone decreasing positive numbers.we have to prove ∑n=1∞an converges…

Q: a) Σ 3"n 00 n!

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

Q: 2. (Series) Determine if the following series converge or diverge. If it converges, find the sum. i.…

A: Since you have asked multiple questions, we will solve the first question for you.If you want any…