Taylor Series HW

# X 1 for56findthetaylorpolynomialoforder3generatedby f

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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...
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## 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.

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