1. Let c, k E R. Let f : I > IR, where I is an open interval containing the point c. Is each of the following claims true or false? Prove your answer. Hint: often= the easiest way to prove that something is false is by providing a counter example and proving that it satises the required conditions. (a) If f is differentiable at c with f'(c} = k, then lim W = k. hm 2h 0 True 0 False (b) If f is differentiable at c with f'(c) l'vaux'ITA O True O False