Suppose that the series (a) (an+b)xn n=1 (b) Σan(x-7)n n=1 (c) bn(x-2)4n n=1 n=1 anx has radius of convergence 5 and bx has radius of convergence 9. Find the radius of convergence of the following series. R = R = R = n=1

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Q: Study the convergence of the series

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Q: 2. 201 3. Σ. 1 n(x-5)" 4" 2n n=1 nn

A: Note: As per our guidelines, we can solve first question. Please repost the remaining questions.

Q: Suppose that the series. anx has radius of convergence 5 and (a) n=1 (c) (b) an(x-7)n n=1 (an +…

A: The series ∑n=1∞anxn has radius of convergence  5 and series  ∑n=1∞bnxn has radius of convergence…

Q: nº (b) Test the convergence of the series L 8 by ratio test.

A: an+1an = (n+1)58n+1n58n an+1an= (1+1n)58limn→∞(1+1n)58 → (1+1∞)58 = 18

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A: As you asked multiple sub part I only solved first three sub parts

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A: We can answer first question as per the honor policy. Please resubmit the other question as well to…

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A: We need to find the Taylor series of f(x)=log3(x+1) with a=0. .

Q: What are the first non-zero terms of the Taylor series, the power series written in sigma notation,…

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