Dirichlet's Test

Dirichlet’s Test is a tool used in calculus to determine if an infinite sum (series) converges, meaning it approaches a specific value. It states that if one sequence’s partial sums stay bounded (don’t grow too large), and another sequence decreases steadily to zero, then the sum of their products will settle to a finite number. Essentially, it helps us understand under what conditions a sum behaves nicely and doesn’t diverge endlessly when combining two sequences.