n! Problem : Using Ratio test, determine the nature of the series : 47 IM:

Q: n! -, using Ratio test, the value of L is compared with While determining the nature of the series

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Q: Given the series: ΣΗ 1 k +1 does this series converge or diverge? O diverges O converges If the…

A: Terms of a telescoping series will cancel each other except 2 terms in the series.

Q: 4.For what values of x , does the series, If you integrate the series term- by- term what new series…

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Q: The sum of the series is k2 + 11k + 30 k=1 8.

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Q: 28. The value of In (2) can be calculated by the alternating harmonic series. In (2)-1-+-+ Using the…

A: Here is the solution:

Q: Use ratio test, iternating series test, in (6) S = E=o; Hint: split the series into 2 series 2n=0…

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Q: Consider the series An where n=1 (n + 8)! en-1 /n +1 an

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Q: What is the sum of the series ? 3D1 x+1 O I- 1 O n+ 1

A: Answer is mentioned below

Q: (a) What is the value of r from the ratio test? (b) What does this r value tell you about the…

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Q: 8) Find the sum of the series by comparing it to a known MacLaurin series. 2n TT 00 42" (2n)! n=0

A: Solve

Q: Find the sum of the given series to the accuracy IerrorI < 0.01. Explain how you estimate the…

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Q: Find all the values of x such that the given series would converge. n! n=1 Answer: Note: Give your…

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Q: What is the least number of terms needed to find the sum of the series (-1)*+1 n2 n=1 with an error…

A: We have to find the least number of terms needed to find the sum of the series…

Q: What is the value of Kusing the ratio test given the series shown below: I+ - + - +-+ 3 + -+... 4 B…

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Q: By using ratio test the series E=1n!(-) is

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Q: The value of p for the series En=1n! e¯n by using ratio test is 2 O 8.

A: Ratio Test: Let ∑n=1∞un be a given series such that limn→∞un+1un=ρ Then the series converges iff…

Q: 2" +1 Ln=0 3"

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Q: 2 En=1 n(n+1)

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Q: While determining the nature of the series n! using Ratio test, the value of L is compared with 2n

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Q: a) ΣΣ п n=0

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Q: Σ(;). Since the series can be rewritten in the form 4 a = r= it is a geometric series with:

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Q: What is the smallest number of terms of the series > (-1)"*! 1 that would have to be added in n 6"…

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Q: Please help: Why is the Leibniz test (Alternating series test) inappropriate for the given series?…

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Q: 4. For what values of x , does the series, .. converge? 8 If you integrate the series term- by- term…

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Q: The student is confused, because every term in the original series is positive, hence the series…

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Q: Find the sum of the series $\Sigma_{n=1}^{\infty} 1 / n^{5}$ correct to three decimal phoces.

A: Given: Find the sum of the series up to three decimal places.

Q: While determining the nature of the series n! using Ratio test, the value of L is 3n n=0 compared…

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Q: sin n ") Ž -3 71 10) I 1=と

A: Here I am giving answer of first question if you want answer of remaining questions repost the…

Q: power series (n + 1)! n=0

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Q: While determining the nature of the series n! , using Ratio test, the value of L is 6n n=0 compared…

A: To find the value of L using ratio test

Q: State where the power series is centered. Ση n = 0 1

A: We are going to find

Q: 28. The value of In (2) can be calculated by the alternating harmonic series. In (2)-1-+-+ Using the…

A: This is a question of infinite series.

Q: Question 2 Use the Alternating Series Estimation Theorem to find the minimum number of terms of the…

A: We have to find the number of minimum terms of alternative Series.

Q: (х — 3)" 3" n=1

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Q: D) what is the upper bound for your error estimate if you use the first 12 terms (use the…

A: Given, To evaluate upper bound for your error estimate if you use the first 12 terms (use the…

Q: What is the least number of terms needed to find the sum of the series (-1)n+1 n2 n=1 with an error…

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Q: 3" Σ A=1

A: WE USE THE COMPARISION TEST

Q: How many terms of the series , do we need to add in order to find the sum to the accuracy…

A: Solution Given ∑n=1∞(-1)n-1n2we need to find the how many series do we need to add in order to…

Q: Given the series: 3 k=0 does this series converge or diverge? O converges O diverges If the series…

A: It is problem of convergence and divergence

Q: How many terms of the series -1)" 1+2" are needed to compute the sum of the series with an error…

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Q: 16) Find the radius of convergance, Rof Ene.series R=? 90x

A: The given series,        ∑n=1∞9nn2xn

Q: State where the power series is centered. (-1)"(9n – 1) 9 n! n= 1

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Q: It is important to distinguish between\[\sum_{n=1}^{\infty} n^{o} \quad \text { and } \quad…

A: Given: The series and .

Q: Find the sum of the series whose terms are a sub n= 1/5^n. What kind of series is this?

A: Consider the series with an=15n.   Since , an+1an=15n+115n=15 Implies the terms have common ratio…

Q: State where the power series is centered. Σ nx" n= 0

A: A power series centred at (or about) x=c is a series of terms such that all terms are non-negative…

Q: n! While determining the nature of the series 8n n=0 using Ratio test, the value of L is compared…

A: the series is divergent by limit test.see 2nd step for solution.

Q: しイ is it converyes k=) 3k and diverges what's the Sum of series ?

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Q: Find the sum of the series whose terms are an=1/5^n. What kind of series is this?

A: Series

Q: The sum of the series 2 is 4k²–1 k=4 SWI

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Q: n! While determining the nature of the series , using Ratio test, the value of L is compared with 2n…

A: The series is ∑n=0∞ n!2n Ratio test: Let the power series is ∑n=0∞ an Define L=limn→∞an+1an If l…