Meaning of Limits

Understanding the meaning of limits.

Mapped to AP College Board # CHA-1.A.1, LIM-1.A.1

Calculus uses limits to understand and model dynamic change. Given a function f, the limit of f(x) as x approaches c is a real number R if f(x) can be made arbitrarily close to R by taking x sufficiently close to c (but not equal to c). If the limit exists and is a real number, then the common notation is lim f(x) = R when x → c.