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1 Consider the function f (a?) Z 2 (m 4) a.) Determine the Taylor polynomial T3 (x; 5) of the function f b.) Determine the

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1 Consider the function f (a?) Z 2 (m 4) a.) Determine the Taylor polynomial T3 (x; 5) of the function f b.) Determine the residual term R4 (:15; 5) of the Taylor formula f (as) 2 T3 (51?; 5) + R4 (:13; 5) , when a: E (4, 6) 0.) Calculate the approximation given by the Taylor polynomial T3 (9:; 5) for the value of the 26 function f at the point x: 5 . How big is the error of approximation

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