Review In Exercises 69-80, determine the convergence or divergence of the series.
To calculate: Whether the series converges or diverges.
The series is .
If the function is positive, continuous and decreasing for and , then and either both converge or both diverge.
First consider the function,
Here, is continuous and positive for .
Find the derivative in order to determine whether is decreasing,
Thus, for . The function is decreasing for . Thus, satisfies the conditions for the Integral test.
Now, integrate .
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