Solution : Here ( x + 1 ), ( x - 2 ),
( x - 3 ) are polynomial functions, so they are
continuous everywhere.
Thus f ( x ) is a Quotient of two continuous functions.
Therefore f ( x ) is continuous at every point except at which
( x - 2 ) ( x - 3 ) = 0 i.e. at x = 2 and x = 3
Now 2, 3 Ï [ 0, 1 ] \ f ( x ) is continuous in [ 0, 1 ]
But 2, 3 Î
[ 1, 4 ] \ f ( x ) is continuous in [
1, 4 ].
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