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Suppose that f is defined and differentiable for every a > 0, and f'(x) 0 as r +0o. Prove that (f(x + 2) -

Suppose that f is defined and differentiable for every a > 0, and f'(x) 0 as r +0o. Prove that (f(x + 2) - f(x)) -0 as x+oo.

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