Can some one help me with this question?
Use the Dirichlet test to show that the series
.
converges for all
with
but
.
I know that the Dirichlet test for the convergence of a series of complex numbers can be stated as follows:
Suppose that
is a sequence of positive real numbers with
for all
and
= 0. Suppose that
is a sequence of complex numbers so that there exists
so that, for all
,
.
(Upper limit in that sum should be N, not infty.) Then the series
converges.
So how do I start? Just really confused. Do I let
and start from there?
Yes !