Q3/ Check the convergence of the following series 3(n + 1)(n + 2) n=0 Ans./Use method of difference - limn0o ****** NI3 II

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A: ∑n = 0∞23n = 1 + 23 + 232 + 233 +  234 + ........................∞After expanding, we can see that…

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Q: To test this series for convergence 6+6 6" n-1 You could use the Limit Comparison Test, comparing it…

A: Explanation of the answer is as follows

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Q: {Зп + 1)!

A: In mathematics, a power series (in one variable) is an infinite series of the form {\displaystyle…

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A: The given series is: ∑n=2∞ ln nn

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Q: Find the radius and the interval of convergence of the (x + 2)" power series> Show your work. Vn ·…

A: ∑n=1∞ x+2nn·5n here we have an=x+2nn5n an+1=x+2n+1n+15n+1 use the series ratio test limn→∞|an+1an|=L…

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Q: (За — 1)" 5n Vn + 1 n=1

A: Given problem:-

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A: The given series is ∑n=1∞-1nxnn. Compare the above series with its standard form ∑n=1∞-1nan xn and…

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Q: Find the interval of convergence of the power series (-1)"3" Σ n=1 o (--) o (-3, 3] o l-1,1] o l-3,…

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Q: find interval of convergence and radius of convergence for power series

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A: Firstly find the radius of convergence and by using it we can define the domain of convergence and…

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Q: Does the series from n=1 to infiniity of (-1)^n(1+(1/n))^n converge or diverge using the alternating…

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Q: Eon!(7x + 1)"

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A: power series ∑n=1∞5x-3nn5n To find the radius of convergent of the  given power series

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Q: Find the series' radius of convergence. n! Σ 5-10 - 15...- -5n n= 1

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Q: What is the interval of convergence of the series + +∞ (x+3)" 2n O a. (-5, -1) O b. [-5, -1] O c.…

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Q: Tn+3)! 2+1 4. In+3)! lim %3D0 Let, Series (comverges b.

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Q: 100 1 Σ n2 – 4n 5

A: Series Integral Test:  The series ∑n an is converges if and only if the integral ∫n f(n) dn…

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A: I use limit test to check series converges or diverges

Q: 1 b) Determine whether the series 1+-+-+-+-+… is convergent or 1 1 1 3 4 divergent.

A: Series is written as the sum of term of sequence where sequence is the list of numbers. Series are…