The piecewise function is .
(a)
\Find .
If then the function is
.
.
Find .
If then the function is
.
.
(b)
\Find .
Left hand limit : .
Right hand limit : .
Left hand limit and right hand limit are not equal, so limit does not exist.
\ does not exist.
(c)
\Graph :
\Graph the function :
(a) and
.
(b) does not exist.
(c) Graph of the function is
.