Suppose that f satisfies the equation f(a +b) = f(a) + f(b) + a'b+ ab (E 1, b €R. Suppose further that lim = 1 (Eq.2), for all real number x. a. Find f(0) using equation 1. (Let a = b = 0). b. Find f'(0) using the limit definition of the derivative of f at x = Xo, i.e. f'(xo) = lim (x)- F(xo) For this item, let f(x) be just f(x). Ox -x x c. Find f'(x) using the limit definition of the derivative. In your process, you neer employ both Equations 1 and 2.

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