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     EduGorilla 
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    If f : R R is a differentiable function such that f'(x) > 2f(x) for all x  R, and f(0) = 1, then

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    1. f(x) > e2x in (0, )
    2. f'(x) < e2x in (0, )
    3. f(x) is increasing in (0, )
    4. f(x) is decreasing in (0, )
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