I have to find whether these series converge.
by using the limit comparison test, and using = i found that it diverges.
As for this example: i used the ratio test and found it diverges also.
Can someone check if i am correct, and also help me with this one
You got it right for the first.
For the last one, use the fact that . If i give you a little bit more hint it will be obvious. So try first and let see if you get it or not
Edit: sorry I don't know if someone already give a reply (the ad always deceives me as if there is no reply to the post).
I think it is also bound by 1/2^n which is converges (geometric series).