Question

List the three reasons why a function might be discontinuous at the point x=c

Answer 1

From the question;

we are to state the three reasons why a function might be discontinuous at the point x=c

A funtion f(x) is discontinuous at a point x = c if

1.

$f(c)\text{ is not defined}$

2.

$\lim _{x\to c}\text{ f(c) does not exi}st$

3.

$\lim _{x\to c}\text{ f(x) }\ne f(c)$

If all this condition are statisfied, then the function is discontinuous at x = c