Consider the convergent sequence with terms defined by
Let . Find the value of
and values of
such that
for all
for each of the following values of
:
-
,
-
,
-
,
-
,
-
.
First, we know
So then we have,
Thus, if then for every
we have
. We compute for the given values of
as follows:
-
implies
.
-
implies
.
-
implies
.
-
implies
.
-
implies
.
Dear sir/madam,
please clarify me the last step.Here N refers to a natural number.But we havent arrived at the appropriate values of N
Any integer $N$ greater than the given values will work.
I still don’t see why we can accept the last step :(