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  3. show that there is a number x such that sin x x 1

Show that there is a number x such that sin x x 1 by filling...

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Calculus

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Show that there is a number x such that sin x x 1 by filling in the details of the following argument Define f x sin x Then f a 0 for a f b 0 for b 4 3 1 3 2 1 0 21 x 1 which is graphed below 1 2 Since f x is continuous by the Intermediate Value Theorem there is a number c where b c a such th f c 0 QED Now find a value of c such that sin c differs from c 1 by less than 0 1

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