Question

Is this function continuous or not?

Answer 1

check if there's a reason for it to have any breaks

Answer 2

\[\huge f(x)= \frac{ 3 }{ x^2-16 }\]

Answer 3

so x= +4/-4

Answer 4

OK: you can never divide by zero
yes, correct

Answer 5

so it breaks on those two points or what?

Answer 6

yes, those points are EXCLUDED because you can't divide by zero

Answer 7

3.999 is included, so is 4.001

however 4.000000000, it is not included

Answer 8

there's no other limitations in this function, so the answer is indeed
not continous; undefined at: -4, +4

Answer 9

makes sense