id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-1372	Kowalenko, Victor	Euler and Divergent Series	2011	54	.pdf	application/pdf	26405	1472	70	Via the key concept of regularisation, which results in the removal of the infinity in the remainder of a divergent series, regularised values can be evaluated for elementary series outside their circles of absolute convergence such as the geometric series and for more complicated asymptotic series called terminants. Because the finite value is the same to the right and to the left of the barrier or line at ℜ z=1 and in keeping with the fact that regularisation is effectively the removal of the first term in the last member or rhs of Eq. (10), we take 1/(1− z) to be the finite or regularised value when ℜ z=1.	cache/ejpam-1372.pdf	txt/ejpam-1372.txt