Calculus is fundamentally different from the mathematics that students have studied previously: Algebra 1, Algebra 2, Geometry, and Precalculus. It has particular techniques of reasoning. It concerned with continuous change and motion. It deals with quantities that approach other quantities. The fundamental objects that we deal in calculus are functions, and the idea of a limit of the function is the key concept that underlies the various branches of the calculus. In one week the emphasis will be made on understanding the concept of limit. The concept will be presented geometrically, numerically, and algebraically. We will take a look at the precise, mathematical definition of the limits including limits at finite points that have finite values, limits that are infinity and limits at infinity, Continuity. To foster conceptual understanding of limit we will consider various types of examples and problems. Most mathematical examples illustrate the truth of a statement. In the course we consider some counterexamples to demonstrate the falsity of a statement as well. We arrange counterexamples related to the concept of limit according to their difficulty. The prerequisite is a working knowledge of Algebra and Trigonometry.