click to play button
click to replay button
3-1-35
X
    00:00 / 00:00
    CC
    OK, looking at this graph over here, we want to know as X goes, we want to know if this is continuous. So as X goes to zero from the right, what's the limit of X going to zero from the right of F of X? Well, if we're going in from the right, we're over here somewhere. We can clearly see that our Y value is 4. When we look at the limit as X goes to zero from the left, we can see that our Y value is -5 and four doesn't equal let -5. So the limit of F of X as X goes to 0 doesn't exist because the left side and the right side aren't the same value. Now for it to be continuous, does the limit as X approaches C of F of X equal F of C? Well, this limit didn't exist, and F of C is 0, so 0 here and does not exist here. Those are not equal, so it can't be continuous.