Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Consider the alternating series
∑
k
=
0
∞
(
−
1
)
k
3
k
2
+
1
\displaystyle \sum_{k=0}^{\infty}(-1)^k\frac{3}{k^2+1}
k
=
0
∑
∞
(
−
1
)
k
k
2
+
1
3
. What is the minimum integer
N
N
N
for which the absolute error of the partial sum
S
N
S_N
S
N
is at most
0.002
0.002
0.002
? a)
39
39
39
b)
37
37
37
c)
38
38
38
d)
40
40
40
Browse the problem library