Just a technic ,not a proof .
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# Just a technic ,not a proof .

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## Just a technic ,not a proof .

Just a technic ,not a proof .One of the students asked me if he could calculate lim sin(x)/x (x---> 0) by Hopital’s law as following. lim sin(x)/x (x---> 0) = lim (sin(x))’/(x)’ (x---> 0) = lim cos(x)/1 (x---> 0) = 1. I answered him “that is only a technic not a proof .To prove that derivative of sin(x) is equal to cos (x) ,it is necessary to know that lim sin(x)/x (x---> 0)=1,in other words in a logical ordering ,we can’t use Hopital’s law . Not only in this case but also... More
Technical Format: HTML/Text
Date Added to MERLOT: May 06, 2010
Date Modified in MERLOT: May 06, 2010
Keywords: calculus

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