In order for it to be continuous here, the limit as we approach from the left, the limit as we approach from the left, so the limit as we approach zero from the left, should be equal to the value of the function at zero. So this should, so the limit of f of x should be equal to f of zero, which should be equal to the limit as we approach from the right, which should be equal to the limit as we approach zero from the right. So that should be equal to the limit as x approaches 0 from the right of f of x. And the reason why this matters is if this wasn't the case, if f of 0 wasn't the same as the limit, then we might have a gap right over there. So you could have limits. So you could have a situation like this, where you have a gap right over there. And then it looks something like that.