Consider the Taylor polynomial centered at a = 0 with n nonzero terms sin x 2 x - 3! +... 7! 5! Select all expressions that match the polynomial 2n (-1)*. k! (a) k=1 n (b) (-1)* = k! k=1 x2k–1 (c)(-1)*+1, (2k – 1)! k=1 n x2k–1 (d)(-1)*. (2k – 1)! k=0 x2k+1 (e)(-1)*+1 (2k + 1)! k=0 x2k+1 (1) E(-1)*- (2k + 1)! k=0 (a) (b) (c)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 54E
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Consider the Taylor polynomial centered at a = 0 with n nonzero terms
sin x 2 x -
3!
+...
7!
5!
Select all expressions that match the polynomial
2n
(-1)*.
k!
(a)
k=1
n
(b) (-1)* =
k!
k=1
x2k–1
(c)(-1)*+1,
(2k – 1)!
k=1
n
x2k–1
(d)(-1)*.
(2k – 1)!
k=0
x2k+1
(e)(-1)*+1
(2k + 1)!
k=0
x2k+1
(1) E(-1)*-
(2k + 1)!
k=0
(a)
(b)
(c)
(d)
(e)
(f)
Transcribed Image Text:Consider the Taylor polynomial centered at a = 0 with n nonzero terms sin x 2 x - 3! +... 7! 5! Select all expressions that match the polynomial 2n (-1)*. k! (a) k=1 n (b) (-1)* = k! k=1 x2k–1 (c)(-1)*+1, (2k – 1)! k=1 n x2k–1 (d)(-1)*. (2k – 1)! k=0 x2k+1 (e)(-1)*+1 (2k + 1)! k=0 x2k+1 (1) E(-1)*- (2k + 1)! k=0 (a) (b) (c) (d) (e) (f)
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