In this video, we have given the explanation about how the Basic Comparison Test for investigation of convergence of an infinite series works. This test is very useful in Real Analysis course. We have used 'General Principle for Convergence of an Infinite Series' to prove it's truth. This principle is sometimes known as 'Cauchy's Criterion For Convergence of an Infinite Series' as well. In our upcoming video, we will use this test to investigate convergence of some examples of infinite series. Stay tuned. :)