Understanding the Integral Test for Series Convergence
The Integral Test is a powerful method for determining the convergence or divergence of an infinite series. It compares the series to an improper integral of a related function. For a series \(\sum a_n\), if \(f(x)\) is a continuous, positive, decreasing function where \(a_n = f(n)\), the convergence of the integral \(\ \int_1^\infty f(x) \, […]