How many vertical asymptotes can a function have?
Understand the Problem
The question is asking about the possible number of vertical asymptotes that a function can possess, which pertains to the characteristics of mathematical functions, particularly rational functions and limits.
Answer
Infinitely many.
A function can have infinitely many vertical asymptotes.
Answer for screen readers
A function can have infinitely many vertical asymptotes.
More Information
Examples of functions with infinitely many vertical asymptotes include f(x) = cot(π/x) and tangent functions.
Sources
- How many vertical asymptotes can a function have? - Socratic - socratic.org
- How many vertical asymptotes can a function have? - Quora - quora.com
- Infinite amount of vertical asymptotes - Mathematics Stack Exchange - math.stackexchange.com
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