Let 
, where 
denotes the greatest integer function. The domain of 
is ….. and the points of discontinuity of 
in the domain are
Text Solution
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Note that 
if 
i.e. 
if 
Thus domain of 
is 
We have 
is continuous at all points of 
and 
is continuous on 
where I denotes the set of integers.
Thus the points where 
can possibly be discontinuous are……, 
But for 
and 
is defined.
Therefore 
for 
Also 
is not defined on 
Therefore, continuity of 
at 0 means continuity of 
from right at 0. Since 
is continuous from right at 
is continuous at 0. Hence set of points of discontinuities of 
is 
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