Does the series <munder> &#x2211;<!-- ∑ --> <mrow class="MJX-TeXAtom-ORD"> n

Carly Roy

Carly Roy

Answered question

2022-05-23

Does the series n 1 cos ( n a ) ln ( n ) n converge?

Answer & Explanation

Syllingbs

Syllingbs

Beginner2022-05-24Added 11 answers

You can easily use calculus:
f ( x ) = ln ( x ) x f ( x ) = 1 x ln ( x ) x x = 1 ln ( x ) x x 0 x [ e , + )
So, a n is decreasing.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?