Now, consider the function defined as
f x
xx
( )
,,
=
=≠


1
0
2
0
if
if
This function is also defined at every point Left and the right hand limits at x = 0
are both equal to 1 But the value of the
function at x = 0 equals 2 which does not
coincide with the common value of the left
and right hand limits Again, we note that we
cannot draw the graph of the function without
lifting the pen