How does this series yield an irrational function
22762
How can adding an infinite number of rationals yield an irrational number?
93690
How to obtain the sum of the following series? $\sum_{n=1}^\infty{\frac{n^2}{2^n}}$
143733
Is this proof that $\sqrt 2$ is irrational correct?
122236
How to compute the series: $\sum_{n=0}^{\infty} (-1)^{n-1}\binom{1/2}{n}$
123951
Problem calculating sum of convergent series of $\sum_{n=2}^{\infty} \frac{1}{n^{2}-1}$
100936
What is the sum of this series: $\frac{2}{\pi}\sum_{k=1}^{\infty}\frac{(-1)^{k-1}}{2k-1}$
119869
Entire function and the series of its successive derivatives
41862
Asymptotic behavior of a trigonometric series
55061
Evaluating the sum after reordering an infinite series $1-\frac {1} {2}+\frac {1} {3}-\frac {1} {4}+\ldots $
93837
How to compute infinite series $\sum_{n=0}^{\infty} ne^{-n}$
4946
Non-existence of irrational numbers?
17686
Evaluate the infinite series $\sum_{r=1}^{\infty} \frac{2^{-r}}{r^{2}}$
152802
How find series $\sum_{n=1}^{\infty}\frac{(-1)^{[\sqrt[m]{n}]}}{n^a}$?
83460
Sequence of rationals with an irrational limit have denominators going to infinity
86194
Infinite series with the binomial coefficient
67180
Manipulating infinite series
22657
How to find the sum of the infinite series?