The P-Series Test is a mathematical tool used to determine the convergence or divergence of a specific type of infinite series known as a p-series. A p-series takes the form of the sum of 1/n^p, where n is a positive integer and p is a constant. The test states that if p > 1, the series converges, while if p ≤ 1, the series diverges. This test is particularly useful in calculus and analysis, helping mathematicians and students analyze the behavior of series. By applying the P-Series Test, one can quickly assess whether an infinite series will approach a finite limit or grow indefinitely.