Welcome to the fascinating world of limits and infinity. In calculus, limits help us understand the behavior of functions as inputs get very large or very small. Infinity itself is an abstract concept describing something without any bound or larger than any number.
Limits are used everywhere in calculus, from defining derivatives to integrals. The concept helps engineers and scientists understand how changes in one quantity lead to changes in another. It's crucial for finding instantaneous rates of change and the area under curves.
Infinity is more than just a number; it's a concept that extends our numerical understanding. Georg Cantor's work on infinity revolutionized mathematics by showing that not all infinities are equal. Explore more about his work and the infinite sets!