L'Hospital's Rule for 0/0 Forms

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One form of L'Hospital's rule states that if and
as
, then
. In this Demonstration, you can choose from a variety of functions with roots at 1 to form the numerator and denominator of a quotient. These functions are plotted as dashed curves and their quotient is plotted as a solid gold curve. The application of L'Hospital's rule to compute the limit of the quotient at 1 is shown above the plot.
Contributed by: Chris Boucher (March 2011)
Open content licensed under CC BY-NC-SA
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"L'Hospital's Rule for 0/0 Forms"
http://demonstrations.wolfram.com/LHospitalsRuleFor00Forms/
Wolfram Demonstrations Project
Published: March 7 2011