Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polynomial for the function in sigma notation. COS(TX)

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.1: Polynomials Over A Ring
Problem 2E
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po(x) =
Tag
P2(x) =
=
Pn(x)
=
Choose one
[1]
X (k) 12
(k + 1)!
k=0
ร
k=0
=
P4 (2) = {1}
–
k=0
z2k
(-1) 72k
(2k)!
m2k
(−1)k²k
(2k)!
ร
X (1)
k!
k=0
2k
zk
P1(x) =
pg(x) =
=
Transcribed Image Text:po(x) = Tag P2(x) = = Pn(x) = Choose one [1] X (k) 12 (k + 1)! k=0 ร k=0 = P4 (2) = {1} – k=0 z2k (-1) 72k (2k)! m2k (−1)k²k (2k)! ร X (1) k! k=0 2k zk P1(x) = pg(x) = =
Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then
find the nth Maclaurin polynomial for the function in sigma notation.
COS(TX)
Po(x) =
P₂(x) =
P4(x) =
P₁(x) =
-
P3(x):
-
Transcribed Image Text:Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polynomial for the function in sigma notation. COS(TX) Po(x) = P₂(x) = P4(x) = P₁(x) = - P3(x): -
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