True or False? 1. If a continuous function f(x) has a root at x=a, then there exists a number h such that fla- h) and flat h) have opposite sign. 2x 2. lim =lim = lim 10 3x'tx x06x+1 x-0 6 3. A function f is continuous at x = a if and only if lim f(x) = f(a). 4. If lim f(x) = lim f(x) , then lim f(x) = f(c) 5. If f'(a) =g'(a) then f(a)=g(a) + c where c is a constant. 6. If f is continuous and, A(x) = J" f(t)dt , then A' (x) = f(x). 7. f(x)=|x| is not integrable in [-1, 1] because the function f is not differentiable at x=0