Limits Purpose 1B8B03

1. The problem asks: What are limits for? 2. In calculus, limits are used to understand the behavior of a function as the input approaches a certain value. 3. Limits help us find values that a function approaches but may not actually reach. 4. They are essential for defining derivatives and integrals, which are foundational concepts in calculus. 5. For example, the limit $$\lim_{x \to a} f(x)$$ describes the value that $$f(x)$$ approaches as $$x$$ gets closer to $$a$$. 6. Limits allow us to analyze functions at points where they might be undefined or have discontinuities. 7. In simple terms, limits help us understand trends and behavior of functions near specific points.