2х f(x) = (1 – x²)² a. Express f(x) as a power series. b. Determine the sum of 2n=1-I° 4n- c. Find the value of f2022(0).

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A: limn→∞7n2+3n+29n2+2

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A: Topic = Derivative

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

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

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A: Ratio Test : Suppose we have the series ∑ an . Define,                         L = limn→∞…

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A: Explanation of the answer is as follows

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Q: 6. Prove that for n> 2, 2(;) + (*) =n². п

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Q: Find the limit. 300 lim er

A: limx→∞ x300ex

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A: Given,  f(x,y)=2x8y

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Q: Consider the following. Demand Function      Quantity Demanded p = 500 − 3x      x = 24  Find the…

A: p= 500-3x , x= 24Let Ep be price elasticity of demandEp=px×dpdxdifferentiate p w.r.t xdpdx=-3