Determine whether the series converges diverges. State the test 15h OV 며

Q: n+7 9) Determine if the series E converges. Explain your conclusion. A Vn +n² -4

A: If limit n tends to infinity an /bn  exits and finite then an and bn converge and diverge together.

Q: Find the geometric series or state that it diverges for n=0,infinity        e^-6n

A: We have to write  in geometric series and we have to give state for divergence

Q: (п - 2)аn+1(2х — 3)п+1 + > ап-1 (2х — 3)"-1 n=0 n=2

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Q: Investigate whether the series ∞∑n=1n3/(ln3)n converges or diverges.

A: Ratio tes: test for Series converge or diverges

Q: Determine whether the series (included in the image) is absolutely convergent, conditionally…

A: The given series is,

Q: 24313 1024 31a516

A: We will observe the pattern to find the value of p.

Q: Determine whether the alternating series £ (-1)n+1, n3 converges or diverges. n= 1

A: Given alternating series is  ∑n=1∞-1n+13nn3

Q: Determine if each series diverges or converges.

A: Dear Bartleby student, according to our guidelines we can answer only three subparts, or first…

Q: Use the Direct Comparison Test to determine if the series converges or diverges. 4 + cos(n) 5" O…

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Q: Express as the sum of a power series: (5z + 6)(6z + 6) (3)"] 1/7 17

A: Using partial fractions:  x5x+66x+6=15x+6-16x+6                            =1/61--56x-1/61--x…

Q: use series to evaluate

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Q: Find a power series for 6x/5x2−4x−1.

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Q: Decide whether the given series are absolutely convergent , conditionally convergent or divergent.…

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Q: ts sum. cos (an) If an=1000,evaluate lim %3D anta n=1

A: This question is related to topic series of real analysis. Solution is given below

Q: У (п — 2)аn+1 (2х — 3)"+1 + > aп-1(2х — 3)"-1 n=0 n=2

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Q: 7" (d) 8" n=5 4" (e) E 4"+4 7" + 3" 8" n=1

A: The above series are

Q: Doesthe series * 2n Converge or diverge フー一 30-2

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Q: 1 7) E(-1)". n(Inn) n=2

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Q: 3. The power series x- 3 ....... can be expressed as +. 2n+1 8. a. 2n+1 =1 2n-1 b. E(-1)" 2n-1 n=1…

A: The power series is given by x-x33+x55+············ To evaluate : The summation notation of the…

Q: Find if the series converges or diverges.

A: The series ∑k=1∞​k3+1k2​ diverges.Explanation:To determine the convergence or divergence of the…

Q: Express .fCG). as a poower series ; from nere, find Ane sum of ueing ithi resiilt from tres power…

A: We have to find power series and sum of given series.

Q: A series whose terms alternate between positive and negative is alled a/an series.

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