What are all of the values of x ,such that - (-1) n+A converges? n=1 .1 X26 .2 06

Q: What are all of the values of x such that (-1)"*" (3x)" converges? 10 x>0.20 3. r>3.40 1/3

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Q: | converges to p What can you say about the convergence of the giver (Enter 'inf for o.)

A: We have to choose the correct answer from the given options according to the given information

Q: What are all of the values of x ,such that converges? n=1 1>0,1 0 13 X<1 4

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Q: 00 Suppose that p(r) = > anc" converges on (-1, 1], find the internal of convergence of p(3x – 7).…

A: Given that ∑n=0∞anxn converges on (-1,1]  To find the interval of converges of p(3x-7)

Q: 5) The interval of convergence is: a) (-2,2] b) (-2,2) ed to show that c) (-2,2) d) [-2,2] ()…

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Q: an Q4. If £ an converges and an > 0 for all n , can anything be said about E- ?

A: Given that ∑an converges and an&gt;0 for all n. The objective is to determine whether ∑1an converges…

Q: 2* converge? If so, what does it converge to? If not, justify. 7k 1 2 2. Does

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Q: A. Find the interval of convergence of the series k!(x – 1)*. Justify your k=0 answer.

A: (A) The given power series is ∑k=0∞k! x-1k. To find: Interval of convergence of the given power…

Q: What are all of the values of x ,such that Σ (3x)" (-1)"+ 00 converges? n=1

A: To solve this question we shall use root test for series.

Q: (a) Show that $\Sigma_{n=0}^{\infty} x^{n} / n !$ converges for all $x$(b) Deduce that $\lim _{n…

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Q: Find the interval of convergence for The interval of convergence is a E n=0 (x - 4)" 2n

A: The given series is ∑n=0∞x-4n2n. The ratio test for convergence of series is given by, If…

Q: 11. Let b be a real number with b > 1. Determine whether > 1 converges or diverges. As part 1+ bk…

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Q: (b) Use the comparison test to determine if the following improper converges: 5/T +1 7+x + x²

A: According to the given information it is required to check for the convergence: ∫1∞5x+17+x+x2dx

Q: Find the radius and the interval of convergence of  ∑∞n=1  (3^n*(2-x)^n)/(n+1)

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Q: Find the interval and radius of convergence. (Зх — 4)" (-1)" (2n + 1) n=0

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Q: Discuss the convergence, find the radius and interval of convergence for f(x) = En=0 (-1))"(x-6)"…

A: Convergence :-    If the limit of the series or sequence is exists and is finite then the series is…

Q: Use the ratio test or the root test to determine whether (-7)* converges absolutely or diverges. k2…

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Q: n" 3) > (-3)2n n=1

A: We apply here root test.

Q: 6" Using the ratio test, determine if converges or diverges (n + 1)"

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Q: 10 Show that (S) converges to a continuous function, but not uniformly. Use the series E f, to show…

A: Solution: The function fnx is defined as follows: fnx=0              x&lt;1n+1sin2πx     1n+1≤x≤1n0…

Q: 8) FIND THE INTERVAL OF CONVERGENCE (-1)"x' n 2n FOR 글지 n=2 ||

A: Given: ∑n=2∞-1nxnn2n

Q: 5n – 1 8) Σ 7n n=1

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Q: * :use convergence test on the function an = (1-1)" with nth root test n B) diverges C) equals 1 A)…

A: Solution:

Q: 1 1+ 2/2' 3/38 1 1 + 1 + ... 5/5 +

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Q: 2. Find the interval of convergence of En=1 n(n+1)

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Q: The series 1 k ln k k=2 converges. Choose an option: ()Real ()False

A: Integral Test : Suppose that f(x) is a continuous , positive and decreasing function on the interval…

Q: find the interval of convergence.

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Q: 5. If En-1 an converges, and if an +1 and a, > 0 for all n, (a) Show that E a converges. (b) Does E1…

A: Since, the sequence is a positive monotonically decreasing sequence, so, is also monotonically…

Q: 1 Determine if dr converges or diverges. If convergent, find its value. (In r21

A: Given: ∫0∞1x1+ln x2dx

Q: krge, Absolutely coverge or conditionally converge? ntl (1) n+3 °

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Q: Use the Ratio Test to determine the radius of convergence R of Does it converge at the endpoints 2n…

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Q: By limit comparison test, O None of these O converges O converges and diverges O diverges

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Q: M Z(1-nsin-) converges n = 1 Select one: O True False

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Q: 5. Find the radius of convergence and the interval of convergence for E- (x – 2)" n%3D1

A: To find the interval and radius of convergence.

Q: 6. SELECT ALL APPLICABLE C A) converges by root test 1 10n+1+(-1y" B) converges by ratio test B D. E…

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Q: n+ 7) ) Σ n2 n=1

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Q: (1) Show that n2 +1 n=1 converges conditionally. Show that all conditions of the test used are…

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Q: What are all of the values of x ,such that (-1)" -". 00 converges? n=1 x120 x0.4 0

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Q: Inx? x² –1, 2 x=2 A-Converges B-Diverges C- Absolutely converges D-Conditionally converges 8.

A: In both cases we use comparison test.

Q: 8) FIND THE INTERVAL OF CONVERGENCE FOR Σ (-1)" x 1=2 n2^ n

A: The given series: ∑n=2∞-1nxnn2nWe need to find the interval of convergence.

Q: Find the interval of convergence for Σ 5 k?xk+1 ek+1

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Q: 7n+2 5. By using Ratio Test, determine whether > converges or diverges. (n + 1)! n=1

A: The answer is found in step-2

Q: the interval of convergence. (x+7)" ( a) Σ In n=1 x" (b) En! n"

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Q: Find the values of p such that E(-1)"- converges.

A: The given series :

Q: 17. Find the interval of convergence for E(-1)"-1÷) x'

A: To find the interval of convergence.

Q: Does (-1)r+1 In n (-1)n+1 lnn converge or diverge? n=1

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Q: n? Use an appropriate method to determine if converges or diverges. n³ +1

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Q: The sequence fn(x) = is 72 Select one: a. diverges Ob. converges uniformly but not pointwise C.…

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