4. For what values of x , does the series, .. converge? 8 If you integrate the series term- by- term what new series do you get?

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A: Series.

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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 series from 1 to infinity of 5/9+2^n.  Does this series converge or diverge?

A: Topic:- limit for convergence test

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A: Given: ∑an where an=ne-n2

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A: The given power series ∑n=1∞(-1)nxnn3

Q: the ratio test to determine whether the series converges. If the test is inconclusive, then say so.…

A: Please refer to the image below

Q: Find the radius of convergence of the series. 5 OR=7 OR = 1/ OR=1 OR=00 OR=0 7"x" 1 (n + 1)"

A: We need to find radius of convergence.

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Q: Please give a detailed explanation to help me with this study guide question. Thank you so much.

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Q: Given the series i). For what values of x, does it converge? (ii). If you integrate the series…

A: The given series is: ∑n=0∞-12n(x-7)n So, an=-12n(x-7)n So, L=limn→∞an+1an…

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A: As the radius of convergence of ∑ ck xk is R, we have limk→∞ ckck+1=R. Now consider ∑ ck x2k. ∑ck…

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A: See the attachment

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Q: 4.For what values of x , does the series, 1 5)'- . converge ? 27 If you integrate the series term-…

A: Solution

Q: , 4" – 3" (a) If the series, ) 5" converges, what is its sum? n=0 in

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Q: The series from n=1 to infinity of (16^n/2 ) / (2^2n), does this series converge or diverge.

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Q: 4. Does the series formed by subtracting the series from the series 2n - 1 n=1 n3D converge? Give…

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