Question

define limit and continuity. what are it's applications​

Answer 1

A limit is a number that a function approaches as the independent variable of the function approaches a given value. ... In the following sections, we will more carefully define a limit, as well as give examples of limits of functions to help clarify the concept. Continuity is another far-reaching concept in calculus.

For example, when designing the engine of a new car, an engineer may model the gasoline through the car's engine with small intervals called a mesh, since the geometry of the engine is too complicated to get exactly with simple functions such as polynomials. These approximations always use limits.

Answer 2

Answer:

Summary Limits and Continuity. The concept of the limit is one of the most crucial things to understand in order to prepare for calculus. A limit is a number that a function approaches as the independent variable of the function approaches a given value.

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