How to know if a function is continuous or discontinuous

A function is said to be differentiable if the derivative exists at each point in its domain. 👉 Learn how to determine the differentiability of a function.

Explain math equation Do math problem Deal with mathematic tasks

Continuity and Discontinuity in Calculus

Explore Book Buy On Amazon. As your pre-calculus teacher will tell you, functions that aren't continuous at an x value either have a removable discontinuity (a hole in the graph of

Continuous and discontinuous functions

The function f is said to be continuous at the number ‘a’ if and only if the following three conditions are satisfied: f (a) exists; lim x→a f (x) exists; lim -x→a f (x) = lim +x→a f (x) =


You can get service instantly by calling our 24/7 hotline.

Figure out mathematic problem

Math can be tough to wrap your head around, but with a little practice, it can be a breeze!

Determine math question

To find the answer to the math question, you will need to determine which operation to use. Once you have determined the operation, you will be able to solve the problem and find the answer.

Determine math problems

I can help you determine math problems.

Enhance your scholarly performance

You can improve your educational performance by studying regularly and practicing good study habits.

Reach support from expert tutors

Get help from expert tutors when you need it.

Continuous Functions

A function is discontinuous at a point x = a if the A function being continuous at a point means that the two-sided limit at that point exists and is equal to the function's value.

Instant Expert Tutoring

If you're looking for a tutor who can help you with any subject, look no further than Instant Expert Tutoring.

Determine math

In order to determine what the math problem is, you will need to look at the given information and find the key details. Once you have found the key details, you will be able to work out what the problem is and how to solve it.

Solve math

Solving math problems can be a fun and rewarding experience.

Figure out math problem

7. Continuous and Discontinuous Functions

A continuous function is a graph of a function that has no breaks and continues on. A formal definition of a continuous function is if f(x) f ( x) is considered continuous at a