(x^{2}-5x+6)
= (x^{2}-2x-3x-6)= x(x-2)-3(x-2) = (x-2)(x-3) This is continuous over
the interval (-5,5) though the function becomes 0 at x=2 or x=3. But the
function is quadratic function and so is continuous

69

F(x) =1/x+3
is continuous at all points other than 0 . At 0 the function is not defined.
Left limit is â€“infinity and right limit is +infinity