New posts in sequences-and-series

Determine if sum of series is rational or not

What is the product of this by telescopic method?

Is there a series to show $22\pi^4>2143\,$?

$\sum_2^\infty\frac{1}{\log(n)^{\log(n)}}$ [duplicate]

Convergence of the series $\sum a^{\sum \frac{1}{n}}$ [duplicate]

How to integrate the dilogarithms?

Interesting property of sum of powers of integers from 1 to 114.

Let the sequence $\{a_n\}$ be defined as $a_1=1$ and $a_{n+1} = \frac{6a_n+3}{a_n+4}$. Show that $a_n \lt 3$ and the sequence is increasing.

How to control the tail behavior of a class of series

Help with combinatorial proof of identity: $\sum_{k=1}^{n} \frac{(-1)^{k+1}}{k} \binom{n}{k} = \sum_{k=1}^{n} \frac{1}{k}$

What do these numbers signify? [closed]

How long will this take to reach.. kimye?

Finite Series $\sum_{k=1}^{n-1}\frac1{1-\cos(\frac{2k\pi}{n})}$

Recursive seqence of power set, starting with the empty set

Proving Nested Sum and Product Identities

What is the dot in "$1.2.4$"?

convergence of $\sum \limits_{n=1}^{\infty }\bigl\{ \frac {1\cdot3 \cdots (2n-1)} {2\cdot 4\cdots (2n)}\cdot \frac {4n+3} {2n+2}\bigr\} ^{2}$

Series $\frac{k^2}{k!}$ with $ k=1$ to $\infty$ [duplicate]

A numerical evaluation of $\sum_{n=1}^{\infty}(-1)^{\frac{n(n+1)}{2}}\frac1{n!}\int_0^1x^{(n)} dx$

Finding $\lim\limits_{n\to\infty }\frac{1+\frac12+\frac13+\cdots+\frac1n}{1+\frac13+\frac15+\cdots+\frac1{2n+1}}$