Real series/Absolute convergence/Definition
< Real series < Absolute convergence
Absolute convergence of a series
A
series
∑
k
=
0
∞
a
k
{\displaystyle \sum _{k=0}^{\infty }a_{k}}
of
real numbers
is called
absolutely convergent
, if the series
∑
k
=
0
∞
|
a
k
|
{\displaystyle \sum _{k=0}^{\infty }\vert {a_{k}}\vert }
converges
.
