Infinite Limits and Vertical Asymptotes

In mathematics, the concept of infinite limits and vertical asymptotes plays a crucial role in understanding the behavior of functions as they approach certain points. Infinite limits occur when a function approaches positive or negative infinity as the input approaches a particular value. Vertical asymptotes are vertical lines that a function approaches but never crosses, often occurring when the function's value becomes unbounded as the input approaches a certain value. Together, these phenomena offer insights into the behavior of functions at critical points, shedding light on their overall structure and behavior.