Word Count : 225

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Consider the function ( f(x) = x - \sin x ) for ( x \in [0, \frac{\pi}{2}] ). To show that (\sin x < x), it is sufficient to show that ( f(x) > 0 ) for all ( x \in (0, \frac{\pi}{2}] ). First, _____ _____ __________ _________ _______ _______ _______.
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