# How do you use the integral test to determine if #Sigma1/sqrt(n+1)# from #[1,oo)# is convergent or divergent?

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Narad T.
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Nov 14, 2017

#### Answer:

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

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