For these questions, you should assume the set up for Kantorovich's theorem. That is: f: SR" is C, S is open, 0 S, Df (0) is invertible, h = -Df(0)-f(0), B(h; |h|) C S. For question 2 and 3, you should assume f(0)| L-|Df (0)-|2 2. Define a = h. Prove that Df (a) is invertible, and Df(a)-| 2|Df (0)-]. Hint: Consider Df(0)- (Df(0) - Df (a)).