Calculus Essay Example | Topics and Well Written Essays - 500 words

Calculus - Essay Example During elementary level of math education, one merely learns that divisibility by zero is not in any way valid or possible and becomes content at treating such case as closed without entertaining its logic any further. In Calculus, however, though the concept widely recognizes that functions do have domains and ranges within which they remain defined, the subject goes beyond such point as extending concern to limits of a function. By using the principle behind the asymptotes for instance whenever a function is rational, logarithmic, or exponential, Calculus enables a student to strive to grasp and appreciate the idea regarding how a function may come really close or approach a value at least even if it is never meant to cross its exact location. A function, according to Calculus, is said to be continuous in an interval [a, b] if it is continuous and defined at any point within this same interval. If this initial condition is not satisfied, then the non-continuity implies that the fun ction is also non-differentiable within [a, b]. Equivalently, the two-sided limits are stated in theorems that guide the study of whether a function’s limit does exist or not as x approaches a certain value and this requires tests to be conducted prior to conclusion.