Explanation Given information : Given x ( h ) at h = 0 . Given let write the required second order Taylor’s polynomial approximation of f ( x ) as in the form of p ( x ) = A + B ( x − h ) + C ( x − h ) 2 ......... ( 1 ) provided f ( h ) = p ( h ) , f | ( h ) = p | ( h ) , f | | ( h ) = p | | ( h ) } ....... ( 2 ) . Then p | ( x ) = B + 2 C ( x − h ) a n d p | | ( x ) = 2 C From system equations ( 2 ) , we get f ( h ) = p ( h ) ⇒ A = f ( h ) f |

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ISBN: 9781305177291

Author: James Stewart, Troy Day

Publisher: Cengage Learning

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Chapter 3.8, Problem 5P

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Taylor’s polynomial approximation of second order for x(h) at h=0 .

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Chapter 3.8, Problem 4P

Chapter 3, Problem 1CC

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Chapter 3 Solutions

Biocalculus: Calculus For Life Sciences

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