Let $f$ be the function below. You can click on the graph to get a larger image.


Determine the limits for the function $f$ at $1$. Note that the limits are all integers (e.g. $\cdots,-2,-1,0,1,2,\cdots$).

$\displaystyle \lim_{x\to 1^{-} } f(x)$ =

$f(1)$ =

$\displaystyle \lim_{x\to 1^{+} } f(x)$ =

Is this function continuous at $1$?
(yes/no):

Can one change the value of this function at $1$ to some value other than its current value, and make the function continuous at $1$?
(yes/no):