If exists but is not equal to , then such
a discontinuity is called a removable discontinuity, for the function can
be redefined as to make it continuous.
For example, the function
as shown in the figure has removable discontinuity at
with .
Graph of
6.1.2
Examples:
(i) The function is not continuous at c,
if c is an integer, since the left limit is not equal to the
right limit. The function has jump discontinuities at
such points.
exists but is not equal to 
, then such
to make it continuous. 
.
is not continuous at c, 
