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Mathematics
Mathematics
Problem
Which of the following equals the Maclaurin series for
cos
x
\cos x
cos
x
truncated after the
x
4
x^{4}
x
4
term? a)
1
+
x
2
2
!
+
x
4
4
!
1+\dfrac{x^{2}}{2!}+\dfrac{x^{4}}{4!}
1
+
2
!
x
2
+
4
!
x
4
b)
1
−
x
2
2
+
x
4
4
1-\dfrac{x^{2}}{2}+\dfrac{x^{4}}{4}
1
−
2
x
2
+
4
x
4
c)
1
−
x
2
2
!
+
x
4
4
!
1-\dfrac{x^{2}}{2!}+\dfrac{x^{4}}{4!}
1
−
2
!
x
2
+
4
!
x
4
d)
1
−
x
2
2
!
+
x
3
3
!
−
x
4
4
!
1-\dfrac{x^{2}}{2!}+\dfrac{x^{3}}{3!}-\dfrac{x^{4}}{4!}
1
−
2
!
x
2
+
3
!
x
3
−
4
!
x
4
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