Local behavior refers to the characteristics and properties of functions or solutions in a small neighborhood around a point, often revealing crucial insights about their nature. In many mathematical contexts, including the study of functions, singularities, and various types of convergence, understanding local behavior can help determine global properties or the overall structure of the function. This concept is particularly important when analyzing functions that exhibit different behaviors near singularities or discontinuities.
congrats on reading the definition of local behavior. now let's actually learn it.