Using the Integral Test for Series Convergence

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For a series represented with a corresponding function over an interval, use the integral test to determine convergence.

The integral test is a powerful tool used in calculus to determine the convergence of series, particularly those represented by functions over an interval. To successfully apply the integral test, it's important to ensure that the function corresponding to the series is positive, continuous, and decreasing over the interval in question. By integrating this function from one endpoint of the interval to infinity, one can determine whether the series converges or diverges based on the convergence of the integral itself.

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