Find the remainder term R, in the nth order Taylor polynomial centered at a for the given function. Express the result for a general value of n. f(x) = e - 8x. Choose the correct answer below. O A. R₁(x) = ;a=1 OB. R₁(x) = O C. R₁(x) = (-8) +1-8c (n+1)! (-8) +18c (n+1)! (-8) e-8c (n+1)! O D. R₁(x)= (-8)"e-8c (n + 1)! -(x-1)+1 for some c between x and 1. -(x-1)+ 1 for some c between x and 1. -(x-1)+1 for some c between x and 1. -(x-1) for some c between x and 1.
Find the remainder term R, in the nth order Taylor polynomial centered at a for the given function. Express the result for a general value of n. f(x) = e - 8x. Choose the correct answer below. O A. R₁(x) = ;a=1 OB. R₁(x) = O C. R₁(x) = (-8) +1-8c (n+1)! (-8) +18c (n+1)! (-8) e-8c (n+1)! O D. R₁(x)= (-8)"e-8c (n + 1)! -(x-1)+1 for some c between x and 1. -(x-1)+ 1 for some c between x and 1. -(x-1)+1 for some c between x and 1. -(x-1) for some c between x and 1.
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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Transcribed Image Text:Find the remainder term R₁, in the nth order Taylor polynomial centered at a for the given function. Express the result for a general value of n.
f(x)=e=8x; a=1
Choose the correct answer below.
O A. R₁(x) =
O B. R₁(x) =
(-8) +1-8c
(n+1)!
(-8) +18c
(n+1)!
(-8)"e-8c
(n+1)!
OC. R₁(x)=
(-8)he-8c
(n+1)!
OD. R₁(x)=
(x - 1)n +1 for some c between x and 1.
(x - 1)n + 1 for some c between x and 1.
- 1)n +1 for some c between x and 1.
(x-1) for some c between x and 1.
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