Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Lebl-Basic-Analysis-I
· Problem 7.4.14
Metric Spaces
Mathematics · compactness
Problem
Prove the general Bolzano–Weierstrass theorem: Any bounded sequence
{
x
k
}
k
=
1
∞
\{x_k\}_{k=1}^\infty
{
x
k
}
k
=
1
∞
in
R
n
\mathbb{R}^n
R
n
has a convergent subsequence.
Browse the problem library