Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Using the first several non-zero terms of the series expansion
ln
(
1
+
x
)
=
∑
n
=
1
∞
(
−
1
)
n
+
1
x
n
n
\ln(1+x)=\displaystyle \sum_{n=1}^{\infty}(-1)^{n+1}\frac{x^{n}}{n}
ln
(
1
+
x
)
=
n
=
1
∑
∞
(
−
1
)
n
+
1
n
x
n
, what is the least number of non-zero terms required so that the absolute error in approximating
ln
(
1.3
)
\ln(1.3)
ln
(
1.3
)
is less than
0.0005
0.0005
0.0005
? a)
6
6
6
b)
4
4
4
c)
3
3
3
d)
5
5
5
Browse the problem library