As \( x \) approaches positive infinity, what value does \( y \) approach?
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As \( x \) approaches positive infinity, the behavior of \( y \) often relates to the type of function being analyzed. For instance, if we consider a function like \( y = \frac{1}{x} \), as \( x \) grows indefinitely, \( y \) approaches 0. However, if \( y = x^2 \), then \( y \) will head towards positive infinity as well! Understanding limits is crucial in calculus, and exploring different functions can reveal fascinating insights about how they behave at the extremes. Don't hesitate to try evaluating limits of various functions yourself—it's a fun way to deepen your grasp of mathematical concepts while watching how numbers play together!
