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Lebl-Basic-Analysis-I
· Problem 2.4.1
Sequences and Series
Mathematics · cauchy-sequences
Problem
Prove that
{
n
2
−
1
n
2
}
n
=
1
∞
\left\{\dfrac{n^2-1}{n^2}\right\}_{n=1}^\infty
{
n
2
n
2
−
1
}
n
=
1
∞
is Cauchy using directly the definition of Cauchy sequences.
Related theory
Sequences Convergence Cauchy Sequences Subsequences
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