α 5. Let f(x) (3 – x)2 (a) Use ch to show that a power series...

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α 5. Let f(x) (3 – x)2 (a) Use ch to show that a power series representation of f is пхп 3n+1 1 - 2 n=0 n=1 00 nxn (b) Find t

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Answer 1

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Solution : @ f(n) = (3-x2 fona 23+3 Z + 3 (3-2) 2 (3) 2 (3-2) But { (3) - 3-2 no wi the respect to Differentiating both scale fon) + If(x) = E n e زہرا کر Series E Hers en- ant Lim Lim 3 x 24_1 3 x Hence Internal of Convergence us Tel<R la <3

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α 5. Let f(x) (3 – x)2 (a) Use ch to show that a power series...

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Find a power series representation for the function. f(x) = فيه (x – 4)2 00 f(x)...

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