Accuracy of Function Approximation Methods
For a sufficiently smooth function near a point, rank the following approximation methods in order of increasing accuracy, from least to most accurate: I. Secant line approximation, II. Tangent line approximation (linearization), III. Quadratic approximation, IV. Cubic approximation.
A
secant line, tangent line, quadratic approximation, cubic approximation
B
tangent line, secant line, quadratic approximation, cubic approximation
C
tangent line, quadratic approximation, cubic approximation, secant line
D
secant line, quadratic approximation, tangent line, cubic approximation
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