Question: 3. Suppose that is a differentiable function such that f'(x) = f(x) and f(x) > 0 for all (-00,00). Which of the followig statement

3. Suppose that is a differentiable function such that f'(x) = f(x) and f(x) > 0 for all (-00,00). Which of the followig statement is false? (a) f(x) = f(0)e for E (00,00). (b) f"(x) = f(x) for x = (-00, 0). (c) f is strictly increasing on (-x,). d dr (d) Let g(x)=in(f(x)) for ze (-00, 00). Then g is a constant function on (-00,00). (c) limo f(x) = 0.

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