Question

What does it mean if a sequence is said to converge to L?

Answer 1

A sequence is said to converge to a value L if the terms of the sequence get arbitrarily close to L as the index of the terms increases. An example of a converging sequence is the sequence 1/n, where n is the index of the term. As n goes to infinity, the terms of the sequence get arbitrarily close to 0, but never actually reach 0.

Step-by-step explanation:

In mathematics, a sequence is said to converge to a value L if the terms of the sequence get arbitrarily close to L as the index of the terms increases

. This means that as the terms of the sequence continue, they become closer and closer to L without ever reaching it. An example of a converging sequence is the sequence 1/n, where n is the index of the term. As n goes to infinity, the terms of the sequence get arbitrarily close to 0, but never actually reach 0.