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Find the Taylor polynomial of order 3 generated by f at a. f(x) = , a = 1 5-x P3(x) = - x-1 + (x - 1)2 . (x-1)3 36 216 1296 O P3(x) = (x + 1)2 . (x + 1)3 1296 x+1 + 36 216 P3(x) = 1+ x-1 + x-1)2 + x - 1)3 %3D 4 16 64 256 P3(x) = 4 x+1 (x + 1)2 - x+ 1)3 16 64 256

Find the Taylor polynomial of order 3 generated by f at a. f(x) = , a = 1 5-x P3(x) = - x-1 + (x - 1)2 . (x-1)3 36 216 1296 O P3(x) = (x + 1)2 . (x + 1)3 1296 x+1 + 36 216 P3(x) = 1+ x-1 + x-1)2 + x - 1)3 %3D 4 16 64 256 P3(x) = 4 x+1 (x + 1)2 - x+ 1)3 16 64 256

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find the Taylor polynomial of order 3 generated by f at a. f(x) = , a = 1 O P3(x) = (x - 1)2 . (x - 1)3 x-1 + 216 36 1296 P3(x) = (x + 1)2 . (x + 1)3 x+1 %3! + 36 216 1296 O P3(x) = 1+ x-l + (x-12 + x - 1)3 4 16 64 256 O Pa(x) = - **1 + e*)2 (x + 1)2 - x+ 1)3 64 256 x+1 4
Transcribed Image Text:Find the Taylor polynomial of order 3 generated by f at a. f(x) = , a = 1 O P3(x) = (x - 1)2 . (x - 1)3 x-1 + 216 36 1296 P3(x) = (x + 1)2 . (x + 1)3 x+1 %3! + 36 216 1296 O P3(x) = 1+ x-l + (x-12 + x - 1)3 4 16 64 256 O Pa(x) = - **1 + e*)2 (x + 1)2 - x+ 1)3 64 256 x+1 4
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