4.x – 6 2. Let f(x) = 1- (2х — 3)3" (a) Find the Taylor series representation for f about r 1.5 that is valid for all a E (1, 2). Hint: Use the equation t", where t e (-1, 1), to find the Taylor...

Extracted text: 4.x – 6 2. Let f(x) = 1- (2х — 3)3" (a) Find the Taylor series representation for f about r 1.5 that is valid for all a E (1, 2). Hint: Use the equation t", where t e (-1, 1), to find the Taylor series representation for %3D -t n=0 1 about x = 1.5. Then, use this series to find the desired series representation for f. 1-(2х - 3)3 (b) Use the result in (2a) to find the 4th degree Taylor polynomial of f about 1.5. (c) Use the result in (2b) to approximate f(1.55). Express your answer in decimal form.