Sequence of rational numbers converging to any irrational number
41767
Sequence of rational numbers converging to an arbitrary irrational number $\beta$.
87356
Are there any known uncountable transfinite increasing sequences of real numbers?
50555
Approximation of real number to the power of irrational
83460
Sequence of rationals with an irrational limit have denominators going to infinity
64081
Sequence converging to different limits
132140
Convergence of Sequence of Real Numbers
11586
Sequences of Real Numbers in a closed bounded interval
62884
Prove the series $ \sum_{n=1}^\infty \frac{1}{(n!)^2}$ converges to an irrational number
55826
Convergence of sequence of real numbers and (sub)subsequence
95702
Remarkable/unexpected rational numbers
102583
Infinite number of rationals between any two reals.
73088
Give an example of a sequence of real numbers with subsequences converging to every real number
8715
Let $(a_n)_n$ be a convergent sequence of integers , what can we say about $(a_n)_n$
58985
Does an increasing sequence of reals converge if the difference of consecutive terms approaches zero?
33851
Generalizing a sequence.
133886
Existence of increasing sequence $\{x_n\}\subset S$ with $\lim_{n\to\infty}x_n=\sup S$
40719
Give a concrete sequence of rationals which converges to an irrational number and vice versa.