The integral is ...
i was given the series
(1)/sqrt(n+2)
1.) yes its decreasing, continuous, and positive
after integrating and performing U substitution i end up getting the following
(-2/3)[ (1) / ((x+2)^(3/2)) ] - upper limit = infinite,,,,,,lower limit = 1
i am getting a constant value from the integral test...so then it would converge...but somehow this is suppose to diverge. Any help is greatly appreciated! thx