Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Determine the third-degree Maclaurin polynomial
P
3
(
x
)
P_3(x)
P
3
(
x
)
for
f
(
x
)
=
ln
(
1
+
x
)
f(x)=\ln(1+x)
f
(
x
)
=
ln
(
1
+
x
)
. a)
P
3
(
x
)
=
x
−
x
2
2
+
x
3
3
P_3(x)=x-\dfrac{x^2}{2}+\dfrac{x^3}{3}
P
3
(
x
)
=
x
−
2
x
2
+
3
x
3
b)
P
3
(
x
)
=
x
−
x
2
2
+
x
3
6
P_3(x)=x-\dfrac{x^2}{2}+\dfrac{x^3}{6}
P
3
(
x
)
=
x
−
2
x
2
+
6
x
3
c)
P
3
(
x
)
=
x
+
x
2
2
+
x
3
3
P_3(x)=x+\dfrac{x^2}{2}+\dfrac{x^3}{3}
P
3
(
x
)
=
x
+
2
x
2
+
3
x
3
d)
P
3
(
x
)
=
x
+
x
2
2
+
x
3
6
P_3(x)=x+\dfrac{x^2}{2}+\dfrac{x^3}{6}
P
3
(
x
)
=
x
+
2
x
2
+
6
x
3
Browse the problem library