Newbetuts
.
New posts in summation-method
Approximation of a summation by an integral
definite-integrals
summation
numerical-methods
approximation
summation-method
Finding the sum of geometric progression
summation
geometric-series
summation-method
$\sum_{n=1}^\infty\frac{n}{(2n-1)16^n}\binom{2n}{n}^2\left(\sum_{k=n}^\infty\frac{2^k}{k\binom{2k}{k}}\right)=1-\sqrt2+\log(1+\sqrt2).$
calculus
sequences-and-series
binomial-coefficients
book-recommendation
summation-method
Can we show that $1+2+3+\dotsb=-\frac{1}{12}$ using only stability or linearity, not both, and without regularizing or specifying a summation method?
sequences-and-series
divergent-series
regularization
cesaro-summable
summation-method
Find the value of $\sum_{n=1}^{\infty} \frac{2}{n}-\frac{4}{2n+1}$
sequences-and-series
algebra-precalculus
summation-method
Integral form(s) of a general tetration/power tower integral solution: $\sum\limits_{n=0}^\infty \frac{(pn+q)^{rn+s}Γ(An+B,Cn+D)}{Γ(an+b,cn+d)}$
integration
gamma-function
tetration
summation-method
power-towers
On proving that $\sum\limits_{n=1}^\infty \frac{n^{13}}{e^{2\pi n}-1}=\frac 1{24}$
sequences-and-series
summation
proof-writing
pi
summation-method
Prev