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Consider the function f(x) = x-+ sin x - 1. Show that there exists at least one real root of the equation f(x) = 0.

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Consider the function f(x) = x-+ sin x - 1. Show that there exists at least one real root of the equation f(x) = 0. (10 marks) Let f(x) be differentiable for all x ( R. Suppose that f(1) = 1 and that f'(x)

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