Solution:
If then
If then
Thus
So
Therefore, f is continuous at
To the left of any integral value but close to
but to the right of m and close to Hence is
discontinuous for all
The function (where
is the greatest integer less than or equal to ), is discontinuous
at all points of
If then
If then
Thus
So
Therefore, f is continuous at
To the left of any integral value but close to
but to the right of m and close to Hence is
discontinuous for all