answersLogoWhite

0


Best Answer

A function f is continuous at c if:

  1. f(c) is defined.
  2. lim "as x approaches c" f(x) exists.
  3. lim "as x approaches c" f(x) = f(c).
User Avatar

Wiki User

11y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What is the definition of continuity in calculus?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

What Is The Importance Of Limits And Continuity?

Those are among the most fundamental concepts in calculus; they are used to define derivatives and integrals.


What is the difference between Newton and Leibniz calculus?

The difference between Leibniz calculus to Newton calculus was that Leibniz developed Newton's calculus into the calculus we all know today. For instance, diffentiation and intergration, limits, continuity, etc. This type of calculus was the pure mathematics. On the otherhand, the calculus which Newton found was that used in physics, such as speed and velocity which helped with physics greatly. Today, calculus not only used in just mathematics or physics, but used in finance, as well as exploited in engineering.


What is the dictionary definition of flow?

to move or run smoothly with unbroken continuity.


What is calculus the kid definition?

Calculus is the part of maths that has to do with calculating changes in the rate of change, like the speeding up or slowing down of a moving vehicle.


What is the definition of the Flow?

To move or run smoothly with unbroken continuity, as in the manner characteristic of a fluid.


WHO definition of calculus?

The branch of mathematics that deals with the finding and properties of derivatives and integrals of functions.


What is continuity of care by a emt?

By the traditional definition, EMTs, don't have any continuity of care. Their job is to scoop the patient up and drop them off at the emergency room where a doctor an care for them.


What is the definition of melody melody?

the definition of melody is a rhythm or something like a beat. :) No, that's Rhythm, melody is the tune of a piece of music.


How was the formula for the surface area of a sphere developed?

By applying the process of triple integration (calculus) to the definition of a sphere.


How is the AP Calculus AB Test Scored?

Calculus AB is the branch of the calculus curriculum offered by the College Board exam administration. It differs from its counterpart, Calculus BC, in that AB only covers material into a standard "college" introductory calculus course.Usually, Calculus AB corresponds to a typical university's Calculus I course (or similarly named). In contrast, BC is a more accelerated course which covers material that corresponds to both Calculus I and II. This may vary depending on the university, as some combine both Calculus I and II into one course, in which case AB would only cover one semester of material.Calculus AB includes content based on limits, continuity, differentiation, integration, the IVT, the MVT, the EVT, and the FTC.


What is the definition of fatigue endurance limit and stress ratio?

B.Sc PCM- 1 year (APPLIED CALCULUS) 18.09.2012


What mathmatician created calculus?

Calculus was invented simultaneously and independently by Newton and Leibniz. Calculus was originally created to solve problems in physics, namely the tangent line problem, and at its creation, many mathematicians were worried about its methods since it seemed that one needed to divide by zero to get the desired results. It was not until the formal definition of limits came into being that these worries about calculus were allayed.