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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. T f(x) = sin 9x; a = 2 Choose the correct answer below. O A. R₁(x) = OB. R₁(x) = O C. R₁(x) = D. R₁(x) = (n+1) gn+1 sin gn+1 g (n+1)! 9% cos (+ 1) (90) (x-2)^** gn n+1 X- (n + 1)! sin (n+1)! X- (n) sin (9c) (n)! 71 2 1) (9c) R (9c)+ 1 for some c between x and X- " for some c between x and n+1 for some c between x and for some c between x and T 2 T 2 T 2

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. T f(x) = sin 9x; a = 2 Choose the correct answer below. O A. R₁(x) = OB. R₁(x) = O C. R₁(x) = D. R₁(x) = (n+1) gn+1 sin gn+1 g (n+1)! 9% cos (+ 1) (90) (x-2)^** gn n+1 X- (n + 1)! sin (n+1)! X- (n) sin (9c) (n)! 71 2 1) (9c) R (9c)+ 1 for some c between x and X- " for some c between x and n+1 for some c between x and for some c between x and T 2 T 2 T 2

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 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. π f(x) = sin 9x; a = 2 Choose the correct answer below. O A. R₁(x) = O B. R₁(x) = O C. R₁₂(x) = OD. D. R₁(x) = gn+1 sin gh cos (n+1) gn+1 (n + 1)! 1) (9c) (n+1) (n+1)! sin (n + 1) (9c) (n+1)! gh sin (n) (9c) (n)! X TO 2 2 光 (9c)* 1 for some c between x and 2 -2)" n+1 -2)" for some c between x and n+1 for some c between x and for some c between x and T 2 π 2 T 2
Transcribed Image Text: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. π f(x) = sin 9x; a = 2 Choose the correct answer below. O A. R₁(x) = O B. R₁(x) = O C. R₁₂(x) = OD. D. R₁(x) = gn+1 sin gh cos (n+1) gn+1 (n + 1)! 1) (9c) (n+1) (n+1)! sin (n + 1) (9c) (n+1)! gh sin (n) (9c) (n)! X TO 2 2 光 (9c)* 1 for some c between x and 2 -2)" n+1 -2)" for some c between x and n+1 for some c between x and for some c between x and T 2 π 2 T 2
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