# Math Help - Is the function continuous?

1. ## Is the function continuous?

Hello,
If f(x)={x, if x is an integer
{10-x, if x is a real number is not an

Find wheather f is continuous at x=5.

2. Originally Posted by harshal54321
Hello,
If f(x)={x, if x is an integer
{10-x, if x is a real number is not an

Find wheather f is continuous at x=5.
In a neighbourhood of x=5 f(x)=10-x, and f(5)=5 which is equal to the limit of
f(x) as x approaches 5, so the function is continuous at x=5.

RonL