*Say true or false:*

*(i) f(x) = [ x ] is continuous over the interval [ 1 , 2 ].*

*(ii) g(x) = 1/x for x > 0 and g(0) = 0 is continuous over [0 , 1 ].*

(i) false: `lim_(x->2^(-))f(x)=1` but `f(2)=2` . (The function is continuous on (1,2) ).

(ii) False: `lim_(x->0^+)= oo` , or the limit fails to exist. It certainly does not equal f(0).