To spice things up with a little historical flair, did you know that limits, like the ones you’re calculating, have roots tracing back to calculus pioneers like Isaac Newton and Gottfried Wilhelm Leibniz in the 17th century? Their groundbreaking work laid the foundations of mathematical analysis, allowing for rigorous exploration of behavior at boundaries that we still use today in everything from physics to economics!

Now, let’s talk real-world applications! Understanding limits isn’t just about passing math exams; it’s crucial in fields like engineering and physics, where you might need to determine the behavior of functions as they approach infinity. For instance, when calculating the stress on materials under extreme loads, engineers use limits to understand how systems behave at their breaking points, ensuring safety and efficiency in designs.