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Mathematics
Problem
What is the third-degree Taylor polynomial about
x
=
0
x=0
x
=
0
for
ln
(
1
+
x
)
\ln(1+x)
ln
(
1
+
x
)
? a)
x
+
x
2
2
+
x
3
3
x+\dfrac{x^{2}}{2}+\dfrac{x^{3}}{3}
x
+
2
x
2
+
3
x
3
b)
x
−
x
2
2
+
x
3
3
x-\dfrac{x^{2}}{2}+\dfrac{x^{3}}{3}
x
−
2
x
2
+
3
x
3
c)
x
−
x
2
2
+
x
3
6
x-\dfrac{x^{2}}{2}+\dfrac{x^{3}}{6}
x
−
2
x
2
+
6
x
3
d)
x
−
x
2
2
+
x
3
2
x-\dfrac{x^{2}}{2}+\dfrac{x^{3}}{2}
x
−
2
x
2
+
2
x
3
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