This chapter introduces the limit, a core calculus concept that describes the value a function approaches as its input nears a specific point. It establishes the necessity of matching left- and right-hand limits for an overall limit to exist and provides foundational rules for evaluating them. Key techniques discussed include the Squeeze Theorem for bounding functions, L’Hôpital’s Rule for solving indeterminate forms, and asymptotic equivalence for simplifying complex expressions. Finally, the text explores different indeterminate types and compares the relative growth rates of logarithmic, polynomial, and exponential functions.