How do you use the integral test to determine if #Sigma1/sqrt(n+1)# from #[1,oo)# is convergent or divergent?
1 Answer
Nov 14, 2017
The series is divergent
Explanation:
Apply the integral test only if the function
The function
The function is positive as
Therefore,
So, we can apply the integral test.
Calculate the improper integral
First compute the indefinite integral
Therefore,
As the improper integral is divergent , so the