+oo 22n (2.x – 1)" Consider the power series >, Vn² + 1 Use alternating series test to show that the series is convergent for x = 3/8.

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A: g(x)=112x2+1

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A: Introduction: For an infinite series ∑n=1∞an, the sequence of partial sum SNN=1∞ is expressed as…

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Q: sin(n+ n 2/ un3D0 1+vn

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Q: (6) Euter eio_ el" = Cos e +i Sino, whore i = J1. where i= JT,

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Q: 6d. What does the above series 3(x - 1)" converge to for the values of x in the interval of conver-…

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Q: Use the root test to determine whether the series converges or diverges. If the test is…

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Q: Start from the power series for In(1 Determine a power series for

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Q: Show that the following series is absolute convergent, conditionally convergent or diverge. 8…

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Q: Find a power series centered at -4 for f(x) = 7 9-x n 7 х-4 5 Zn=0 5 7 n 9 9. 5 Σ-0 (+ 4" п 7 x+4 13…

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Q: Find if the series converges or diverges from n=0 to n=infinity (k*ln(k))/((k+1)^3)

A: Given data is: ∑k=1∞klnkk+13  To find the series converges or diverges. [Note that the index cannot…

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Q: Does this series converge or diverge? Give the test used ((11n-6)/(1+12n))^n Start at n=1 End at…

A: We are required to find if the series ∑n=1∞11n-61+12n converges or diverges. We are also required to…

Q: A power series is convergent if and only if x is in the interval (-2,8]. The power series is…

A: A power series is convergent if and only if x is in the interval (-2,8] therefore, interval of…

Q: (-4)2k k3k-2 Consider the power series (x – 2)*. k=1 Find the radius and the interval of convergence…

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Q: Estimate the series accuracy of 0.01 n=1 to within an

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