This preview shows page 1. Sign up to view the full content.
Unformatted text preview: n f ( x ) = 1
at x = 2 . x +1 For #5‐6, find the Taylor polynomial of order 3 generated by f ( x ) at x = 1 . 6) f ( x) = x3 − 2 x + 4 7) f ( x) = x 4 For #8‐9, find the Taylor polynomials of orders 0, 1, 2, and 3 generated by f ( x ) at x = a . 8) 10) f ( x) = sin x, a= π
4 9) f ( x) = x , a = 4 Let f ( x ) be a function that has derivatives of all orders for all real numbers. Assume f (1) = 4, f ′(1) = −1, f ′′(1) = 3, and f ′′′(1) = 2 . (a) Write the third order Taylor polynomial for f ( x ) at x = 1 and use it to approximate f (1.2) . (b) Write the second order Taylor polyno...
View
Full
Document
This note was uploaded on 05/19/2013 for the course MATH AP Calc BC taught by Professor Paulbattaglia during the Fall '12 term at Manasquan High.
 Fall '12
 PaulBattaglia
 Taylor Series, AP Calculus

Click to edit the document details