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Can you answer this Calculus question?

Let f be a function that has derivatives of all orders for all real numbers. Assume that f(3)=1, f'(3)=4, f"(3)=6, and f'''(3)=12. 
a) Write the third order Taylor polynomial for f at x=3 and use it to approximate f(3.2). 
b) Does the linearization of f underestimate or overestimate the values of f(x) near x=3? Justify your answer. 
For part a), I know how to find the third order Taylor polynomial but I don't know how to approximate f(3.2), please show all your work for that. And for part c), please show all your work as well. Thanks. 


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Steve S. | Tutoring in Precalculus, Trig, and Differential CalculusTutoring in Precalculus, Trig, and Diffe...
5.0 5.0 (3 lesson ratings) (3)
a) Just substitute 3.2 for x in your Taylor polynomial approximation.
You didn't give a part c.