Provide an appropriate response.Which of the following statements is false?I. For a function f(x), the Taylor polynomial approximation can always be improved by increasing the degree of the polynomial.II. Of all polynomials of degree less than or equal to n, the Taylor polynomial of order n gives the best approximation of f(x).III. The Taylor series at x = a can be obtained by substituting x - a for x in the corresponding Maclaurin series.

A. I and II
B. I, II, and III
C. III only
D. I and III


Answer: D

Mathematics

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