Let f(x) 1- (2г — 3)3 (a) Find the Taylor series representation for f about x = 1.5 that is valid for all x E (1, 2). +o0 1 Hint: Use the equation Et", where t E (-1,1), to find the Taylor series representation for 1-t n=0 1 about x = 1.5. Then, use this series to find the desired series representation for f. 1- (2x – 3)3 (b) Use the result in (2a) to find the 4th degree Taylor polynomial of f about 1.5. Use the result in (2b) to approximate f(1.55). Express your answer in decimal form.

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