Question: Suppose f is a function that satisfies the equation f(x + y) = f (x) + f(y) + x2y + xy2 for all real numbers

Suppose f is a function that satisfies the equation f(x + y) = f (x) + f(y) + x2y + xy2 for all real numbers x and y, suppose also that
lim x →O f(x) / x = 1.
(a) Find f(0). (b) Find f’(0). (c) Find f’(x)

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