Is it an Alternating Series?

1. The problem statement, all variables and given/known data

Is this an alternating series : (-1)^n / ( arctan n ) ^ (n)

2. Relevant equations

I know that the alternating series should have (-1) to any power, but also the signs should be - , + , - , + ..... or the opposit,

3. The attempt at a solution

I am ok with this I know that for testing Con. Or Div. of this we should use the root test

But this series. But the problem is " Is this seris alternating or not"

Becasue if not it will be treated normally with a root test and it will Con.

For me I think that it is not "Alternating "

What do you think ?

 

mmm, do you mean the limit, if so no. It goes to inifity.

 

So, this is NOT an alternating sries, right ????

 

ohhh, Ya , I remembred it goes to Pie/ 2
Right ?