Determine the series is absolutely convergent or diverges by using ratio test.
b)
=
=
is that the final answer? can it be simplified any further?
how do i simplifly this question,please help. really appreaciate all your help & support
Determine the series is absolutely convergent or diverges by using ratio test.
b)
i dont know how should i continue from here ..need some help & guidance for this question...for all i know the final answer is e, am wondering how to get the answer.
appreciate all your help & support.
Well.
Sorry, I did not follow your solution. show work please.
the green one
the red one as .
so we can ignore the red one.
Now, we are left with
Try to evaluate it, then multiply the result by to get the answer of the limit of the Ratio Test.
Actually, I did not know what are trying to use the Ratio Test.
It can be tested for convergence/divergence easily.
Clearly as .
so the series diverges by the Test for Divergence (the nth term test).
Or note that:
.
Then, the Basic Comparison Test will finish it.
hi General
thank you for replying.you are right. is this the correct working.
this is the question:
Determine the series is absolutely convergent or diverges by using ratio test.
b)
=
=
=e
e>1, divergent.
thank you for all your help & guidance.really appreciate.
The limit = , Right.
But sorry, am not sure if you really can cancel them or not.
See:
http://www.wolframalpha.com/input/?i...es+to+infinity