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Consider the function f(x) = cos(x) (x - 1). a) Calculate the Taylor polynomial grade 2 of f aro ...
Consider the function f(x) = cos(x) (x - 1)². a) Calculate the Taylor polynomial grade 2 of f around point xo = 1. b) Using the obtained Taylor polynomial of (a), calculate an approximation of f(1.1) and its absolute error. c) Calculate the upper limit for If(x) - P?(x)| to x € [0.9,1.1] where p2 is the last obtained polynomial.