2*(x – 3)k Σ 8. k k=2

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A: According to the guidelines we are instructed to answer only one question or 3 sub questions, the…

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A: radius of convergence in power series is the radius of largest disk in which the series converges.…

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A: We know by Ratio Test, the series ∑an is convergent if limn→∞an+1an &lt; 1.

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A: The given power series,       ∑n=0∞n! xn

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A: I have used the definition of interval of convergence

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A: This is a problem related to series and sum calculation. Please follow the procedure given below.

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A: Given that f(x)=1ex+1 By using the taylor formula, f(x)=f(0)+f'(0)1!x+f''(0)2!x2+..... So, the…

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Q: 1. Determine the convergence or divergence of the following series Vn+1- yn Σ а. п

A: Here , To Determine the convergence or diverges of the following series,  we will use limit…

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A: Since you have asked multiple question, we will solve the first  question for you.  If you want any…

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A: The solution are next step

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A: ∑k=1∞ 3x+5k2k

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A: Please see the explanation below

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A: SINCE YOU HAVE ASKED MULTI PAL QUESTIONS IN SINGLE REQUEST , WE WILL BE ANSWERING ONLY THE FIRST…

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A: The given function is fx=61-x4. it is known that, the power series representation of 11-x=∑n=0∞xn,…

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Q: 1. Find the Laurent series that converges for 0 < ]z| < ∞ for the function sinh 2z z2

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