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In each paragraph 2 multiple choice questions have to be answered. Each question has four choices (A), (B), (C) and (D) out of which ONLY ONE is correct.
Let f : [0, 1]→R (the set of all real numbers) be a function. Suppose the function f is twice differentiable, f(0) = f(1) = 0 and
satisfies f′′(x) − 2f′(x) + f(x)≥ex, x ∈[0,1].
Which of the following is true for 0 < x < 1?