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 (since for all
) that
So then we have,
Thus, if then
as well (since
). So, for every
we have
. We compute for the given values of
as follows:
-
implies
.
-
implies
.
-
implies
.
-
implies
.
-
implies
.
The answer is not correct. You are dividing by FACTORIAL, so the values of N are actually 2, 4, 5, 7, 8. Just compute the value for N = 5: 5! = 120. 1/ 5! 1 / 120 < 0.01! Which corresponds to epsilon = 0.01! Thus the answer N = 101 is incorrect.
*Here the values of N shoud be 2,11,101,1001,10001. As according to the question.Please correct me if Iam wrong.
I don’t understand where you get those values of $N$. I think the above is correct, but maybe I have made a mistake somewhere?