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Mathematics
Mathematics
Problem
The fourth-degree polynomial
P
4
(
x
)
=
1
+
x
+
x
2
2
+
x
3
6
+
x
4
24
P_4(x)=1+x+\dfrac{x^{2}}{2}+\dfrac{x^{3}}{6}+\dfrac{x^{4}}{24}
P
4
(
x
)
=
1
+
x
+
2
x
2
+
6
x
3
+
24
x
4
approximates
e
x
e^{x}
e
x
. Evaluate
P
4
(
0.2
)
P_4(0.2)
P
4
(
0.2
)
to four decimal places.
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