The first appearance in print of l'Hospital's Rule was in the book Analyse des Infiniment Petits published by the Marquis de l'Hospital in 1696. This was the first calculus textbook ever published and the example that the Marquis used in that book to illustrate his rule was to find the limit of the function 2ax – x* – aaax a - Var as x approaches a, where a > 0. (At that time it was com- mon to write aa instead of a².) Solve this problem.

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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The first appearance in print of l'Hospital's Rule was in
the book Analyse des Infiniment Petits published by the
Marquis de l'Hospital in 1696. This was the first calculus
textbook ever published and the example that the Marquis
used in that book to illustrate his rule was to find the limit
of the function
2ax – x* – aaax
a - Var
as x approaches a, where a > 0. (At that time it was com-
mon to write aa instead of a².) Solve this problem.
Transcribed Image Text:The first appearance in print of l'Hospital's Rule was in the book Analyse des Infiniment Petits published by the Marquis de l'Hospital in 1696. This was the first calculus textbook ever published and the example that the Marquis used in that book to illustrate his rule was to find the limit of the function 2ax – x* – aaax a - Var as x approaches a, where a > 0. (At that time it was com- mon to write aa instead of a².) Solve this problem.
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