00 n(x+4)" n= 0 5"

Q: 31. n! it n n =D1 n = 1

A: The given power series,   ∑n=1∞n!nnxn

Q: what is the largest interval of convergence

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Q: En=1 =1 (4n)"

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Q: find the interval of convergence.

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Q: n! h) E п n3' n=1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: What is the interval of convergence ?

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Q: п(х — for -1)" n(x – 4)" 2n n3D0 8.

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Q: Find center, the radius of convergence and interval of convergence for (-1)k+1 (x – 2)* Σ k k=1

A: The radius of convergence is half of the length of the interval of convergence. If the radius of…

Q: (2r + 3)" =1' V 2n +n – 1

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Q: n°(r + 4)" 2 .n20/3 infinite, type "infinity" or 'inr".

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Q: [ (7)^ 걔 V (x+5) ^

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Q: Find the radii of convergence and the range of convergence

A: Here we have to use root test first.

Q: 14. Find the interval and radius of converence for 3x √n+1 n=0

A: The given series is:∑n=0∞ (-3)nxnn+1

Q: Suppose that p(x)=an" converges on (-1, 1], find the interval of convergen n=0 8 left end included…

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Q: x" n n=0 n2

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Q: What are the Ratio and Root Tests? Do they always give you the information you need to determine…

A: A mathematical series can be convergent or divergent subject to certain conditions. Ratio test and…

Q: (-1)"(n² /n +3) (х-5)" 2" (n° +2) 3 n=1

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Q: Find the Taylor Series of f(x) = c os() centered at a = Find the interval of convergence. Show all…

A: Given fx=cosx3 about a=3π2. The Taylor series of a function, fx about x=a is given by,…

Q: Σ=1[5(3)" 5 (3)" – 21 ically

A: