Hey, I have a limit discontinuity problem here, and I think I've done it right, but I wanted to make sure that my reasoning was correct.

Question;

For , Use the mathematical definition of continuity to determine whether is continuous at .

I found the left and right hand limits to both equal 0, but the limit cannot be defined directly as x approaches 4, and the function is not defined at 4, so I think there is a point hole in the function at 4. Am I right?

Thanks for your time!