Let f: (0, ) R be a twice differentiable function such that lim f(x)sint-f(t) sinx 1x...

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Let f: (0, ) R be a twice differentiable function such that lim f(x)sint-f(t) sinx 1x t-x If f TU 6 (A) = 12 -= sin x for all x = (0, ) then which of the following statement(s) is (are) TRUE? (+)-1/2 42 (C) There exists a (0, ) such that f'(a) = 0 X (B) f(x) < -x for all x = (0, ) 6 S (1) +. f =0 2 (D) Let f: (0, ) R be a twice differentiable function such that lim f(x)sint-f(t) sinx 1x t-x If f TU 6 (A) = 12 -= sin x for all x = (0, ) then which of the following statement(s) is (are) TRUE? (+)-1/2 42 (C) There exists a (0, ) such that f'(a) = 0 X (B) f(x) < -x for all x = (0, ) 6 S (1) +. f =0 2 (D)

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