4.x - 6 Let f(r) = 1- (2x – 3)3 (a) Find the Taylor series representation for f about r = 1.5 that is valid for all r € (1,2). +oo (Hint: Use the equation = E ", where t € (-1,1), to find the Taylor series repre- 1-t n=0 1 sentation for about a = 1.5. Then, use this series to find the desired series 1- (2r – 3)3 representation for f.) (b) Use the result in (2a) to find the 4th degree Taylor polynomial of f about 1.5.

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