Calculus
Les Schaffer
schaffer at optonline.net
Wed Apr 25 09:16:52 MDT 2001
Charles Brown said:
> What about zero divided by zero? That seems to be approaching one.
consider the following ratio:
sin(x)
-------
x
try plugging some numbers into your calculator for the numerator and
denominator seperately. then do the ratio. try numbers in a sequence
something like this:
.2, .1, .05, .01, .005, .001, .000005, .0000000001
now try the same numeric sequence for this:
1 - cos(x)
---------
x
and then try
sin(x)
-----
x*x
i'll post the numbers up on a web page later on. the answers can be
obtained explicitly through L'Hopital's rule from calculus.
les schaffer
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