Provide an Appropriate Response $\mathrm { f } ( \mathrm { x } )$

question 72

Multiple Choice

Provide an appropriate response.
-Which of the following statements is false?
I. For a function $\mathrm { f } ( \mathrm { x } )$ , the Taylor polynomial approximation can always be improved by increasing the degree of 1 polynomial.
II. Of all polynomials of degree less than or equal to $\mathrm { n }$ , the Taylor polynomial of order $n$ gives the best approximi $f ( x )$ .
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 tion of

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Divine

Pertaining to or involving a god; often associated with religious, sacred, or supernatural aspects.

Heritage

The range of cultural, historical, or natural assets passed down from previous generations, distinctive of a particular society or country.

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Convictions or acceptance that something exists or is true, especially without proof.

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