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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 51E
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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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