ind a power series representation for the function. 3 f(x) 1 - x2 (x) = n = 0 Determine the interval of convergence. (Enter your answer using interval notation.)

Q: see the question  and equation as attached here

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A: from geometric series,

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A: Hey, since there are multiple subpart posted, we will answer first 2 questions. If you want any…

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Q: see the equation and question as attached here

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A: fx=x2tan-1x3 proceeding in this way we get

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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: SOLUTION-

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A: As per our guideline, we are supposed to solve only first question. Kindly repost other questions as…

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A: Please see the below picture for detailed solution.