Respuesta :

Using the graphical method for limits, it is found that:

[tex]\lim_{x \rightarrow 3} f(x) = 1[/tex]

What is a limit?

  • A limit is given by the value of function f(x) as x tends to a value.
  • In a graph, the lateral limits have to be equal, that is:

[tex]\lim_{x \rightarrow a} f(x) = \lim_{x \rightarrow a^+} f(x) = \lim_{x \rightarrow a^-} f(x)[/tex]

In this problem, the definition as x goes to 3 is the same, hence:

[tex]\lim_{x \rightarrow 3} f(x) = \lim_{x \rightarrow 3^+} f(x) = \lim_{x \rightarrow 3^-} f(x) = 1[/tex]

You can learn more about limits at https://brainly.com/question/26270080

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