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4434Just a technic ,not a proof .
http://www.merlot.org/merlot/viewMaterial.htm?id=449348
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 generally we must be careful about logical ordering of mathematical predicates. ”Project Snapshot Template
http://www.merlot.org/merlot/viewMaterial.htm?id=449789
A geometry question relating to analysysProject Snapshot Template
http://www.merlot.org/merlot/viewMaterial.htm?id=450956
Distribution property of vector multiplication