To: Teacher2Teacher Public Discussion
Subject: lim sin x / x when x--- > 0 and L'Hopital's rule
Your example and explaination was great and too useful in applied works.Of course we must be more careful about logically deducing chain in precise mathematics.When we get derivative of sinx ,we have used L'Hopital's rule to (sinx-sinx0)/(x-x0),assuming that rule is true and lim sin((x-x0)/2)/(x-x0)=1/2. Thanks.
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