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Mathematics
Problem
Let
h
(
x
)
=
(
1
+
x
)
e
x
2
h(x)=(1+x)e^{x^{2}}
h
(
x
)
=
(
1
+
x
)
e
x
2
. Which of the following is the Maclaurin polynomial of degree
4
4
4
for
h
(
x
)
h(x)
h
(
x
)
? a)
1
+
2
x
+
3
2
x
2
+
2
3
x
3
+
5
24
x
4
1+2x+\dfrac{3}{2}x^{2}+\dfrac{2}{3}x^{3}+\dfrac{5}{24}x^{4}
1
+
2
x
+
2
3
x
2
+
3
2
x
3
+
24
5
x
4
b)
1
+
x
+
x
2
+
x
3
1+x+x^{2}+x^{3}
1
+
x
+
x
2
+
x
3
c)
1
+
x
+
x
2
+
x
3
+
1
2
x
4
1+x+x^{2}+x^{3}+\dfrac{1}{2}x^{4}
1
+
x
+
x
2
+
x
3
+
2
1
x
4
d)
1
+
x
+
x
2
+
x
3
+
3
2
x
4
1+x+x^{2}+x^{3}+\dfrac{3}{2}x^{4}
1
+
x
+
x
2
+
x
3
+
2
3
x
4
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