Respuesta :
LET f(x) = , and consider what happens when the values of x become smaller and smaller. Then the values of f(x) become larger and larger. Eventually, they become larger than any number we might name. We then say that the values of f(x) become infinite or tend to infinity, and that the limit of f(x) as x approaches 0 is infinity.
Now, a limit is a number. But infinity, along with its symbol ∞, is not a number and it is not a place. So to "tend to infinity," or to say that "the limit is infinity," is simply the language we use to describe a propertyof a variable; namely that because its values become larger than any number we might name, they do not approach a limit.
The limit [tex]\lim_{n \to \infty} a_n = \infty[/tex] means that the term [tex]a_n[/tex] becomes large as n becomes large
The limit of a function describes the behavior of such function as the independent variable approaches a certain value
Infinity [tex]\infty[/tex] represents a very large number
In the limit, both n and [tex]a_n[/tex] tend to infinity
The given limit is:
[tex]\lim_{n \to \infty} a_n = \infty[/tex]
The limit above describes the behavior of [tex]a_n[/tex] as n approaches infinity
As n approaches infinity [tex]a_n[/tex] also approaches infinity
Therefore, the description of the limit [tex]\lim_{n \to \infty} a_n = \infty[/tex] is that the term [tex]a_n[/tex] becomes large as n becomes large
Learn more here: https://brainly.com/question/16176032
