Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
State precisely the condition involving
ε
>
0
\varepsilon>0
ε
>
0
and an integer
N
N
N
that must be satisfied by the sequence of partial sums
{
S
n
}
\{S_n\}
{
S
n
}
for the infinite series
∑
k
=
1
∞
a
k
\sum_{k=1}^{\infty} a_k
∑
k
=
1
∞
a
k
to converge to a real number
S
S
S
.
Browse the problem library