If , then the points of discontinuity of
in domain of the function are
is defined
if
i.e. . Thus dom
.
We have continuous at all points of
. and
continuous on
, where
denote the set of integers. Thus the points where
can possibly be discontinuous are,
is defined. Therefore,
.
Also, is not defined on
, so the continuity of f at 0 means continuity of f from right at 0 . Since f is continuous from right at 0, f is continuous at 0 . Hence the set of discontinuities of f is
.
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