1. The term "infinity" in mathematics refers to a concept rather than a specific number. 2. It represents something that is unbounded or limitless, often used to describe quantities that grow without bound. 3. For example, in calculus, we say a function approaches infinity if its values increase without limit as the input grows. 4. Infinity is often denoted by the symbol $\infty$. 5. Important rules include that infinity is not a real number and cannot be used in arithmetic operations like normal numbers. 6. It is used in limits, series, and other mathematical contexts to describe behavior at extremes. 7. For instance, the sum of an infinite series can converge to a finite value, but the number of terms is infinite. 8. Understanding infinity helps in grasping concepts like limits, continuity, and unbounded growth in mathematics.