a)find the Taylor series for f(x) = (8/x), centered at a=-2.  b) find the associated radius of convergence

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A: I have used the expansion for sine function

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A: Taylor series will be given by:  fx=∑n=0∞x-2nn!fn2      =∑n=0∞x-2nn!4ne4xx=2      =∑n=0∞x-2n4ne8n!…

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A: Givenf(x)=ex at xi+1=a=2 and xi=x=1we need to calculate the remainder term for every approximation

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A: f(x, y) = 17-5x2 Since, f(x, y) has not 'y' term in its expression, hence f(x, y) = f(x).  All…

Q: a)find the Taylor series for f(x) = (8/x), centered at a=-2.  (The Taylor series starts at n=0) b)…

A: We find the Taylor series for f(x) = (8/x), centered at a=-2. (The Taylor series starts at n=0)

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A: This question can be solved using the concept of Taylor series centered at a.

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A: SOLUTION-

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Q: 9. f(x) = cOs x, a =

A: Follow the procedure given below.