3. Let T,(x)= f(a) + f '(a)(x-a)+ "(a 2(x-a)² +² a)(x-a)³ be the Taylor polynomial of degree three for the 2 function f(x), centered at the point x=a. a) Find T,'(x), T, "(x), and T,"(x). b) Evaluate T, '(x), T,"(x), and T,"''(x) at x=a to verify that: T;(a) = f(a), T, '(a) = f '(a), T",(a) = f"(a), T,""(a) = f""(a). and

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