wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

How do you prove a function is continuous?


Open in App
Solution

To prove that a function is continuous at a point c, the following are the factors that needs to be checked:

1.f(c) must be defined.

2.There must be an existence of the limit of the function fshould approach the valuec.

3. The value of c at function and the limit of x approaching c must be the same.

4.f(x) must exist.


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Derivative of Standard Functions
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon