# What are the three conditions necessary for the function f(x) to be continuous at the point x = c?

##### 1 Answer

Jun 23, 2016

The necessary and sufficient conditions:

#### Explanation:

The necessary and sufficient conditions:

should exist. 2.

exist and

If anyone of these is not satisfied, f(x) is discontinuous at x = c.

It is easy to see see continuity while making a hand-graph of y = f(x).

The graph can be drawn at x = c, without lifting the marker.

Note that, if any of

the function does not exist, at x = c.

. .