n \to \infty
The notation "n \to \infty" represents the concept of a variable, typically denoted as n, approaching infinity. In mathematics, this is often used in limits, where we analyze the behavior of functions as n increases without bound. It helps in understanding how certain expressions behave as they grow larger and larger.
In calculus, "n \to \infty" is crucial for determining convergence or divergence of sequences and series. For example, when evaluating the limit of a sequence, we look at what happens to the sequence's terms as n becomes infinitely large, providing insights into the long-term behavior of the sequence.