Suppose I compute T₁(x), the degree 1 Taylor polynomial for f centered at x = 4. (a) Do you expect T₁(4.3) to be a good approximation to ƒ(4.3)? Explain why or why not. (b) Do you expect T₁(3.7) to be a good approximation to f(3.7)? Explain why or why not. (Hint: use a derivative of the appropriate order in your explanation.)

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