Alternating test does not apply because one of the conditions required to use it fails, namely:
Please help to determine whether the series is convergent or divergent by Alternating Series Test.
My reasoning a(n+1) = (2n+1)/(2n+2)
a(n+1) less or equal to an. This is where I am having a problem. It looks like it is wrong. Right?
Then what? The test failed?