The line y = 4 is a horizontal asymptote to the right of the graph of a function f. What is the limit of f as x approaches infinity?
Question
The line y = 4 is a horizontal asymptote to the right of the graph of a function f. What is the limit of f as x approaches infinity?
Solution
The limit of the function f as x approaches infinity is 4. This is because the line y = 4 is a horizontal asymptote to the right of the graph of the function f. By definition, a horizontal asymptote is a horizontal line that the graph of the function approaches as the independent variable (in this case, x) approaches infinity. Therefore, the value of the function f gets arbitrarily close to 4 as x gets arbitrarily large.
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